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Topic: Cremona group

	Search Results for Cremona
		Cremona, the capital of the Cremona region of Lombardy was situated on the north bank of the Po River southeast of Milan.
		Cremona transformations have been used for studying rational surfaces, for the resolution of singularities of plane and space curves, and for the study of elliptic integrals and Riemann surfaces.
		In November 1877, Cremona was appointed to the chair of higher mathematics at the University of Rome.
	www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Cremona&CONTEXT=1 (3172 words)

	AWS 1999: Courses and Notes
		Cremona's project was about “Rational points on conics.” There is a description of the project, and some suggested readings for the project.
		Cremona's web site has a number of preprints and and slides related to his talk at the Winter School, and to his student project.
		The paper “Visualizing elements in the Shafarevich-Tate group,” by Cremona and Mazur (to appear in the Journal of Experimental Math) (dvi, ps, pdf)
	swc.math.arizona.edu /~swcenter/oldaws/99Notes.html (515 words)

	Municipality of Cremona - Violin making - Classical (Site not responding. Last check: 2007-11-01)
		Cremona has always been considered as a city which gave birth to the greatest violin-makers of any time.
		This theory is upheld by the year of Andrea Amati’s birth, around 1505, and re-evaluates the importance ascribed to the city of Brescia as the birth-place of the violin with Gasparo Bortolotti da Salò, who was born in 1540.
		Moreover, the group of instruments commissioned to Andrea Amati by Carlo IX of France, shortly after the first half of XVI century, demonstrates that the art of the Cremonensis violin-maker was known beyond the Italian borders when Gasparo da Salò was only twenty.
	www.rccr.cremona.it /doc_comu/liu/engl_liu_classica.html (441 words)

	Birational geometry - Wikipedia, the free encyclopedia
		An example is the Cremona group of birational automorphisms of the projective plane.
		In purely algebraic terms, for a given field K, this is the automorphism group over K of the field K(X,Y) of rational functions in two variables.
		Its structure has been analysed since the nineteenth century; but it is 'large' (while the corresponding group for the projective line consists only of Möbius transformations determined by three parameters).
	en.wikipedia.org /wiki/Birational_geometry (403 words)

	CATHOLIC ENCYCLOPEDIA: Gerard of Cremona
		A twelfth-century student of Arabic science and translator from Arabic into Latin; born at Cremona, in 1114; died in 1187.
		Spanish writers that Gerard was born, not at Cremona in Italy, but at Carmona in Spain.
		Lucy at Cremona, to which he bequeathed his valuable library.
	www.newadvent.org /cathen/06468a.htm (386 words)

	Creation, Monitoring and Management of WS-Agreement (Cremona) (Site not responding. Last check: 2007-11-01)
		Cremona is a framework that supports the establishment and management of agreement-based service relationships for both a service provider and a service consumer.
		Cremona provides implementations of the interfaces and support for processing agreement templates by agreement initiators.
		Cremona implementers use the APIs of the com.ibm.watson.cremona.aprm package, where APRM stands for Agreement Protocol Role Management.
	awwebx04.alphaworks.ibm.com /ettk/demos/wstkdoc/cremona/README.htm (711 words)

	Springer Online Reference Works
		The group of Cremona transformations is also named after him — the Cremona group, and is denoted by
		The simplest examples of Cremona transformations which are not projective transformations are quadratic birational transformations of the plane.
		An important place in the theory of Cremona transformations is occupied by certain special classes of transformations, in particular — Geiser involutions and Bertini involutions (see [1]).
	eom.springer.de /C/c027050.htm (415 words)

	Wireless Knowledge -- Accelerating Enterprise Mobility Announcement -
		Richard S. Cremona (Rich) was born and raised in the Cleveland, Ohio area.
		Cremona's personal interests include spending time with his family, traveling, motorcycling, skiing, playing golf and reading about historic events and people.
		He is also active in the community, and serves on the Board of Directors of the St. Louis Regional Commerce and Growth Association (St. Louis' Chamber of Commerce); President of the ECHO Emergency Children's Shelter and as a member of the Board of Directors of the Juvenile Diabetes Foundation.
	www.digevent.com /events/client/wirelessknowledge/01-09-05_carrier/presenters.asp (1097 words)

	Reference.com/Encyclopedia/Gerard of Cremona
		He was one of a small group of scholars who invigorated medieval Europe in the 12th century by transmitting Greek and Arab traditions in astronomy, medicine and other sciences, in the form of translations into Latin, which made them available to every literate person in the West.
		Gerard of Cremona's Latin translation of an Arabic text was the only version of Ptolemy’s Almagest that was known in Western Europe for centuries, until George of Trebizond and then Johannes Regiomontanus translated it from the Greek originals in the fifteenth century.
		The Almagest formed the basis for a mathematical astronomy until it was eclipsed by the theories of Copernicus.
	www.reference.com /browse/wiki/Gerard_of_Cremona (719 words)

	Esercito Italiano: History Portal
		On September 8, 1943, the Italian Army experienced a great defeat, as it was obliged to conclude an armistice.
		Defeated but non conquered, Italian soldiers and still existing units formed the 1st Motorised Group and its supporting units as early as October 1943.
		February 1945: a patrol of the "Cremona" Combat Group wearing British uniforms and equipment.
	www.esercito.difesa.it /English/history/storia5.asp (208 words)

	Citations: Algorithms for modular elliptic curves - Cremona (ResearchIndex) (Site not responding. Last check: 2007-11-01)
		The Mordell Weil group of this curve is a finite group of order 5, generated by D by proposition 6.5.
		On the Diophantine Equation x² + 7 = y^m - Siksek, Cremona
		Cremona, Algorithms for modular elliptic curves, Cambridge (1992).
	citeseer.ist.psu.edu /context/316473/0 (2533 words)

	Cremona Violins
		I've interviewed Cremona Violins http://www.cremonaviolins.com/ and welcome you to learn more about their violins.
		It is possible to find all the information about the Consorzio itself and there also exists the chance to know the Permanent Exhibit of contemporary instruments made by the members.
		About the violin making, it is important to attend a good violin making school and, after that, to work in a workshop where to learn all the technique and "secrets" to make a very good bowed instrument.
	www.suite101.com /article.cfm/violin/39539 (358 words)

	Systems Design Group : (Site not responding. Last check: 2007-11-01)
		At Systems Design Group we are continually searching for the very best in hi-performance equipment.
		Sonus Faber's newest speaker, the Cremona, is a tribute to the great city of music and art.
		The Cremona's rare tonal balance and accuracy mark it as a Sonus Faber classic.
	www.systemsdesigngroup.net /hotnew.asp (278 words)

	Steel Technology - Cremona Galvanised Steel Plant Italy
		The Arvedi group's flat rolled and tubular steel operations reported a net profit of lire 8 billion ($3.8 million) on turnover of lire 900 billion ($435 million) for 1999.
		Acciaieria I.S.P. di Cremona is in Cremona in the industrial area beside the Milan-Cremona-Po canal.
		The Arvedi Group awarded the contract for the design, supply and installation of the line of a 250,000 tonnes/year hot-dip, galvanising line to Danieli Wean United.
	www.steel-technology.com /projects/cremona (746 words)

	Elliptic Curve Data (Site not responding. Last check: 2007-11-01)
		For each curve of positive rank, generators are given for the Mordell group modulo torsion, in projective coordinates.
		Lastly, S is the value of the order of the Tate-Shafarevich group as predicted by B-SD (the "analytic order of Sha"), given the previous data and also the local factors and torsion.
		Lists of the curves with non-trivial Tate-Shafarevich group, according to the BSD conjecture; i.e., curves whose "analytic order of Sha" is greater than 1.
	www.maths.nott.ac.uk /personal/jec/ftp/data (1212 words)

	2005-1 (Site not responding. Last check: 2007-11-01)
		The Cremona group of the birational transformations of a projective n-dimensional space is, still now, not very much understood, at least if n is not lesser than 3.
		The School will focus on the description of the finite subgroups of the Cremona group of projective plane and on the classical series of examples of Cremona transformations of projective 3-dimensional space.
		The relations with the modern birational geometry will be discussed as well various related topics, among them: homaloidal hypersurfaces, special linear systems of plane curves, congruences of rational curves and their birational classification, rationality problems for conic bundles, etcetera.
	calvino.polito.it /~geometri/2005-1.htm (173 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		I have checked that the index of the group these points generate is not divisible by 2, 3, 5, 7 or 11 and I expect that P1,...,P14,Q1,T do generate the full Mordell-Weil group.
		As far as I know this curve is the first known to have 2-torsion and exact rank 15.
		Fermigier produced several curves which were candidates for this status, and which certainly have 2-Selmer rank 15, but I have not been able to verify this, since mwrank gets bogged down in the second descent; the advantage of Dujella's curve is that all 15 generators are found without the need for a second descent.
	www.math.niu.edu /~rusin/known-math/01_incoming/EC_rk15 (246 words)

	Department of Mathematics - University of Georgia
		Diophantine geometry and arithmetic, local and global heights on algebraic varieties, uniform distribution on locally compact groups, applications of harmonic analysis to number theory, the Mahler measure of polynomials.
		Our number theory group is complemented by a large group in algebraic geometry, including Valery Alexeev, William Graham, Elham Izadi, Roy Smith, and Robert Varley.
		Members of the group are: Robert Brice, Sungkon Chang, Jerry Hower, Jacob Keenum, Nausheen Lotia, Daeshik Park, Clay Petsche, Charles Pooh, Dong Hoon Shin, and Juhyung Yi.
	www.math.uga.edu /research/number_theory.html (643 words)

	Treasury Designates Three Italian Residents as Terrorists, August 1, 2005
		Ahmed El Bouhali, Faycal Boughanemi and Abdelkader Laagoub are members of a fundamentalist Islamic terrorist organization established in Cremona, Italy in 1998 with the aim of committing terrorist attacks in Italy and other countries, including Morocco and Tunisia.
		Additionally, the group has ties to the extremist organization, Moroccan Islamic Combatant Group, which was designated by the United States on November 22, 2002 under E.O. Mourad Trabelsi and Noureddine Drissi are members of the Cremona terrorist cell and have been designated by the United States.
		He was a member of the Cremona cell from minimally 2002 – 2004.
	www.usembassy.it /file2005_08/alia/a5080102.htm (592 words)

	Municipality of Cremona - Museum - Il Carlo IX (Site not responding. Last check: 2007-11-01)
		This violin came from a group of instruments made for the Court of King Charles IX of France and is one of the last four that have survived.
		It is in excellent condition and traces of the original gold coat-of arms used by the King of France can still be seen on the back.
		It was donated to the town on the 25th February 1966.
	www.rccr.cremona.it /doc_comu/mus/engl_vio_carloix.shtm (137 words)

	Kraft, Schwarz: Reductive group actions with one-dimensional quotient
		Kraft, Hanspeter; Schwarz, Gerald W. Reductive group actions with one-dimensional quotient.
		POPOV, Semisimple group actions on the three dimensional affine space are linear, Comment.
		SLODOWY, Der Scheibensatz für algebraische Transformationsgruppen, in Algebraic Transformation Groups and Invariant Theory, DMV Seminar vol.
	www.numdam.org /item?id=PMIHES_1992__76__1_0 (377 words)

	USATODAY.com - U.S. moves against 3 tied to terror group (Site not responding. Last check: 2007-11-01)
		Under the department's action, any assets belonging to the three individuals found in the United States must be blocked and Americans are forbidden from doing business with them.
		The three are part of a terror cell in Cremona, Italy, that aims to carry out violent attacks in Italy, Morocco, Tunisia and other countries, the department alleged.
		Laagoub helped form the Cremona terror cell in 1998 and headed it until February 2004, it said.
	www.usatoday.com /news/washington/2005-08-01-terror-trio_x.htm?csp=34 (371 words)

	Bournemouth: Cremona - Traveler Reviews - Thanks Folks! - TripAdvisor
		The Cremona had very recently been refurbished and had a real luxury modern feel.
		The Cremona Hotel, a small private family run bed and breakfast ideally situated in easy walking distance of Bournemouth center and the superb beach.
		This place looks smart, is very well presented, the owners Rita and Hari are very pleasent and helpful (not in your face but always around when needed) and "The Breakfast", Superb perfectly cooked (for those who like full english) with an excellent selection of pastries and alternatives (have the full english).
	www.tripadvisor.com /ShowUserReviews-g186262-d595690-r6321360-Cremona-Bournemouth_Dorset_England.html (980 words)

	UIUC Ph.D.'s in Mathematics
		Trjitzinsky, W. Bennett, Elizabeth R. Primative groups with a Determination of the primative groups of degree 20...
		A Cremona group isomorphic with the group of the twenty seven lines on a cubic surface.
		The Converse Fatou Theorems in a Finite-Dimensional Half-Space
	www.math.uiuc.edu /GraduateProgram/phd_defense_alpha.html (4114 words)

	Cremona Digs Confirm Tacitus Story - Ancient Roman Empire Forums
		Excavations in Cremona have confirmed a legendary description of the city's destruction in December 69 AD by the Latin historian Tacitus.
		Archaeologists working in the area of Piazza Marconi believe they have found evidence of the northern Italian city's brutal pillage following a clash between the forces of Emperor Aulus Vitellius and his challenger, Vespasian.
		Tacitus's graphic description of the rampage by Vespasian's troops is famous among scholars but there was no way to prove it actually happened.
	www.unrv.com /forum/index.php?showtopic=2337 (220 words)

	Giulio Campi (Getty Museum)
		Leading member of an artistic dynasty in Cremona, Giulio Campi trained his much younger brother, with whom he sometimes collaborated; his own sons; and a group of pupils who dominated Cremonese painting in the last half of the 1500s.
		Around 1539, Campi and his rival were both painting decorations in Cremona's church of San Sigismondo.
		His frescoes and altarpiece typify an eclectic style combining Giulio Romano's monumental classicism with the elegant, sensuality of Parmigianino, influences also displayed in his rival's nervously rhythmic frescoes.
	www.getty.edu /art/gettyguide/artMakerDetails?maker=2971&page=1 (177 words)

	Lija Athletic FC - Official Website
		He would certainly keep this group compact throughout the season, especially when their are problems regarding the age within this group.
		Under the loving care of their coaches, Claudio Azzopardi and Daniel Cremona, this group has played a record number of matches and have been regular guests at various nurseries particularly Sliema and Valletta.
		This group was very ably led by coaches John Aquilina and Sandro Gatt, and we really hope that next year following an intensive year of training, some of the boys will show their real worth.
	www.lijaathletic.com /nursery.htm (3996 words)

	Bournemouth: Cremona - Traveler Reviews - New Year @ Cremona - TripAdvisor
		We are hoping to come and stay a little bit longer during the summer holiday.
		I would definetely recomend Cremona hotel to all my friends to stay there if they ever go and visit Bournemouth.
		I think that Cremona is also in the perefect location; 5min.
	www.tripadvisor.com /ShowUserReviews-g186262-d595690-r6532914-Cremona-Bournemouth_Dorset_England.html (800 words)

	AMCA: Bounding Mordell-Weil ranks using Visualisation by Nils Bruin (Site not responding. Last check: 2007-11-01)
		While there is no known algorithm to compute the free rank of this group effectively, on can compute a finite upper bound on the rank via Selmer-groups.
		In Cremona-Mazur's terminology, such a set-up is said to visualise that part of the Tate-Shafarevich group.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
	at.yorku.ca /c/a/o/k/17.htm (213 words)

	Cremona - Bournemouth, England
		Located on the west Cliff, Cremona offers all our guests clean modern rooms, comfortable beds, tea/coffee trays, hair dryer, and television, FREE Wireless Internet Access to all rooms
		All our breakfasts are cooked to order, so you can enjoy a full English, Vegetarian or continental start to the day.
		A hostel is an accommodation where you can get a bed in a shared dorm room.
	www.hostelz.com /hotel/44385-Cremona (367 words)

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