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Topic: Oscar Zariski

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	Zariski topology - Wikipedia, the free encyclopedia
		In mathematics, namely algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition but is only weakly related to their geometric properties; it is due to Oscar Zariski and took a place of particular importance in the field around 1950.
		In this sense, the Zariski topology is an organizational tool rather than an object of study (compare with the role of the topology in algebraic topology).
		This is one instance of the geometric unsuitability of the Zariski topology.
	en.wikipedia.org /wiki/Zariski_topology (1433 words)

	Zariski (Site not responding. Last check: 2007-11-06)
		Oscar's mother was the one who ensured that her young son had a good education.
		A tutor was provided for Oscar from the time he was seven years old and Oscar, under the guidance of the tutor, showed remarkable aptitude for the Russian language and for arithmetic.
		It was while Zariski was in Rome that Enriques suggested that Ascher Zaritsky, as he was then called, change his name to the Italian sounding Oscar Zariski.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Zariski.html (1530 words)

	Oscar -- Britannica Student Encyclopedia
		The Oscar is the traditional name for the Academy Awards of Merit, gold-plated statuettes that are presented annually by the Academy of Motion Picture Arts and Sciences for excellence in acting, directing, and other activities in films released during the previous calendar year.
		Oscar Soares Filho Niemeyer was born on Dec. 15, 1907, in Rio de Janeiro, Brazil.
		The U.S. lyric writer, musical comedy author, and theatrical producer Oscar Hammerstein II was influential in the development of musical comedy and was known especially for his immensely successful collaboration with the composer Richard Rodgers.
	www.britannica.com /ebi/article-9332132 (523 words)

	Zariski topology - One Language (Site not responding. Last check: 2007-11-06)
		The Zariski topology is defined by defining the closed sets to be the sets consisting of the mutual zeroes of a set of polynomials.
		The Zariski topology given to some finite-dimensional vector space doesn't depend on the specific basis chosen; for that reason it is an intrinsic structure.
		The general case of the Zariski topology is based on the affine scheme and spectrum of a ring constructions, as local models.
	www.onelang.com /encyclopedia/index.php/Zariski_topology (263 words)

	Zariski topology: Encyclopedia topic (Site not responding. Last check: 2007-11-06)
		In mathematics (mathematics: A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement), the Zariski topology is a structure basic to algebraic geometry (algebraic geometry: algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract...
		The Zariski topology (topology: The configuration of a communication network) is defined by defining the closed set (closed set: in topology and related branches of mathematics, a closed set is a set whose...
		The general case of the Zariski topology is based on the affine scheme (affine scheme: more facts about this subject) and spectrum of a ring (spectrum of a ring: more facts about this subject) constructions, as local models.
	www.absoluteastronomy.com /reference/zariski_topology (503 words)

	Zariski topology
		In this topology, named after Oscar Zariski, the closed sets are the sets consisting of the mutual zeros of a finite set of polynomial equations.
		This definitions indicates the kind of space that can be given a Zariski topology: for example we define the Zariski topology on a n-dimensional vector space F^n over a field F, using the definition above.
		It follows easily that homomorphisms are continuous and so the Zariski topology given to some finite-dimensional vector space doesn't depend on a specific basis chosen.
	www.ebroadcast.com.au /lookup/encyclopedia/za/Zariski_topology.html (135 words)

	Reference.com/Encyclopedia/Regular local ring
		Regular local rings were originally defined by Wolfgang Krull, but they first became prominent in the work of Oscar Zariski, who showed that geometrically, a regular local ring corresponds to a smooth point on an algebraic variety.
		Zariski proved that Y is nonsingular at P if and only if the local ring of Y at P is regular.
		This implies that smoothness is an intrinsic property of the variety, in other words it does not depend on where or how the variety is embedded in affine space.
	www.reference.com /browse/wiki/Regular_local_ring (709 words)

	Interview with Heisuke Hironaka [a great Japanese mathematician speaks informally] (Site not responding. Last check: 2007-11-06)
		The fundamental nature of this problem was apparent to many mathematicians in the first part of the twentieth century, notably Oscar Zariski, who solved the problem for curves and surfaces and had a profound influence on Hironaka.
		Oscar Zariski had already solved it for curves in one dimension, two dimensions, and even partly in three dimensions.
		Zariski wanted to have a solid foundation for such results, and he chose algebra to be the foundation.
	www.freerepublic.com /focus/f-news/1482067/posts (9056 words)

	F. Jessie MacWilliams (Site not responding. Last check: 2007-11-06)
		In 1939, she received a traveling scholarship from Cambridge and went to Johns Hopkins University, where she studied with Oscar Zariski.
		In 1940, she followed Zariski to Harvard University to study there for a year.
		She married in 1941 and left her mathematical work for some years to raise her three children, one daughter and two sons.
	www.math.unl.edu /~awm/awm_folder/NoetherBrochure/MacWilliams80.html (363 words)

	Dr. Piotr Blass - Welcome
		Locally Factorial Generic Zariski Surfaces are Factorial (with J. Lang), Journal of Algebra, 1987.
		The Influence of Oscar Zariski on Modern Algebraic Geometry (with J. Blass), Gazette of Australian
		Section 3: On a Question of Oscar Zariski (with Joseph Blass and Jeff Lang), Ulam Quarterly 2 (3) 1994, 58 71.
	www.floridian.biz (2136 words)

	Math 319 Home Page (Site not responding. Last check: 2007-11-06)
		Algebraic geometry is the study of polynomials or more precisely the zero sets of polynomials.
		The field is a very old one but in the mid-1900's Andre Weil and Oscar Zariski worked together to set the field on a new foundation.
		We will cover topics that include: projective space, homogeneous coordinates, plane curves, Bezout’s theorem, elliptic curves, affine and projective varieties, the Zariski topology, coordinate rings, and functions on varieties.
	www.mtholyoke.edu /courses/robinson/ma319/math319.htm (111 words)

	The Springer GTM Test - Result (Site not responding. Last check: 2007-11-06)
		Your creator studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris.
		My creator studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris.
		He is also an accomplished musician, playing flute, piano, and traditional Japanese music on the shakuhachi.
	www.math.mcgill.ca /~dsavitt/GTM/hartshorne.html (371 words)

	References for Zariski (Site not responding. Last check: 2007-11-06)
		C Parikh, The unreal life of Oscar Zariski (Boston, 1991).
		P Blass, The influence of Oscar Zariski on modern algebraic geometry, Austral.
		Oscar Zariski : Collected Papers (Cambridge, Mass., 1987).
	www-groups.dcs.st-and.ac.uk /~history/References/Zariski.html (30 words)

	Oscar Zariski Collected Papers - Holomorphic Functions & Linear Systems V 2; Author: Artin; Hardback; Book
		Oscar Zariski Collected Papers - Holomorphic Functions & Linear Systems V 2; Author: Artin; Hardback; Book
		Oscar Zariski Collected Papers - Holomorphic Functions & Linear Systems V 2
		Prices subject to change to be advised on confirmation of order.
	www.netstoreusa.com /xxbooks/026/0262010380.shtml (160 words)

	Citebase - Toric embedded resolutions of quasi-ordinary hypersurface singularities (Site not responding. Last check: 2007-11-06)
		[G-T] Goldin, R., Teissier, B., Resolving singularities of plane analytic branches with one toric morphism, Resolution of Singularities, A research textbook in tribute to Oscar Zariski.
		[L5] Lipman, J., Equisingularity and simultaneous resolution of singularities, Resolution of Singularities, A research textbook in tribute to Oscar Zariski.
		[Z2] Zariski, O., The connectedness theorem for birrational transformations, Algebraic Geometry and Topology (Symposium in honor of S. Lefschetz), Princenton University Press, 1955, 182-188.
	www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:math/0306270 (1201 words)

	Powell's Books - Algebraic Geometry by Robin Hartshorne
		Best of all, buy two Docurama DVDs (shipping, as always, is free) and receive a free T-shirt!.
		Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris.
		After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years.
	www.powells.com /cgi-bin/biblio?inkey=72-0387902449-0 (269 words)

	AV #81390 - Video Cassette - Oscar Zariski and His Work (Site not responding. Last check: 2007-11-06)
		AV #81390 - Video Cassette - Oscar Zariski and His Work
		David Mumford explores the life and work of his colleague, friend and thesis adviser Oscar Zariski in this video.
		After profiling Zariski’s move from Russia, his doctoral training in Italy, and the influences on Zariski’s mathematics, Mumford p resents Zariski’s work on the Riemann-Roch theorem and other achievments.
	www.sfsu.edu /~avitv/avcatalog/81390.htm (76 words)

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