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Topic: Federigo Enriques

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	Italian school of algebraic geometry - Wikipedia, the free encyclopedia
		There is no question that the leadership fell to the group in Rome of Guido Castelnuovo, Federigo Enriques and Francesco Severi; who were involved in some of the deepest discoveries, as well as setting the style.
		In the case of surfaces, the Enriques classification was into five similar big classes, with three of those being analogues of the curve cases, and two more (elliptic fibrations, and K3 surfaces, as they would now be called) being with the case of two-dimension abelian varieties in the 'middle' territory.
		This was an essentially sound, breakthrough set of insights, recovered in modern complex manifold language by Kunihiko Kodaira in the 1950s, and refined to include mod p phenomena by Zariski, the Shafarevich school and others by around 1960.
	en.wikipedia.org /wiki/Italian_school_of_algebraic_geometry (722 words)

	Enriques (Site not responding. Last check: 2007-10-18)
		Enriques was Jewish and so while the Fascist regime was in power he had to resign from teaching from 1938 until 1944.
		Enriques made important contributions to geometry and to the history and philosophy of mathematics.
		Enriques was awarded an honorary degree by the University of St Andrews.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Enriques.html (481 words)

	Federigo Enriques -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-18)
		The Enriques classification, of complex (Click link for more info and facts about algebraic surface) algebraic surfaces up to birational equivalence, was into five main classes, and was background to further work until (Click link for more info and facts about Kodaira) Kodaira reconsidered the matter in the 1950s.
		The largest class, in some sense, was that of surfaces of general type: those for which the consideration of (Click link for more info and facts about differential form) differential forms provides (Click link for more info and facts about linear system) linear systems that are large enough to make all the geometry visible.
		The question of classification is to show that any surface, lying in (Click link for more info and facts about projective space) projective space of any dimension, is in the birational sense (after blowing-up and blowing-down of some curves, that is) accounted for by the models already mentioned.
	www.absoluteastronomy.com /encyclopedia/f/fe/federigo_enriques.htm (501 words)

	CONK! Encyclopedia: Oscar_Zariski (Site not responding. Last check: 2007-10-18)
		He was a student at the University of Kiev in 1918, moving to Rome to study in 1920.
		He became a disciple of the Italian school of algebraic geometry, studying with Guido Castelnuovo, Federigo Enriques and Francesco Severi.
		He wrote a doctoral dissertation in 1924, on a topic in Galois theory.
	www.conk.com /search/encyclopedia.cgi?q=Oscar_Zariski (546 words)

	Chisini (Site not responding. Last check: 2007-10-18)
		Later, enrolled as an engineering student at the University of Bologna, Oscar Chisini met Federigo Enriques in a meeting that was to change his life.
		Indeed, Enriques immediately recognised his talent, led him to obtain a degree in mathematics in 1912, and engaged him as assistant and coauthor in the writing of the treatise Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche (Lessons on the geometric theory of equations and algebraic functions).
		The four volumes of this monograph, started in 1915 and finished in 1934, were conceived in what Chisini called a peripatetic way, that is walking under the porches of Bologna with Enriques possibly stopping to write on the flooring with the tip of his umbrella.
	www-history.mcs.st-and.ac.uk /Mathematicians/Chisini.html (661 words)

	segre
		Geometry on a surface, which was developing through the research of Castelnuovo and Enriques, constitutes a considerable part of the 1901-02 notebook, Introduzione alla geometria sopra una superficie algebrica.
		A particularly important notebook is that dated 1909-10, on cubic surfaces, Superficie del 3° ordine e curve piane del 4° ordine, both because it is a systematic, elegant exposition of the subject, and because, as Segre himself remarks in the introduction, “F3s have had considerable influence on the development of modern algebraic geometry.
		V); F. Enriques and O. Chisini did not fail to quote them in their Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche (Vols.
	www.dm.unito.it /sism/segreeng.html (790 words)

	Enriques Surfaces - Algebraic Geometry - Dept. of Mathematics - University of Mainz
		Enriques Surfaces - Algebraic Geometry - Dept. of Mathematics - University of Mainz
		Such surfaces have been studied first by the italian mathematician Federigo Enriques (1871-1946) in 1914.
		Such a singular surface is called a singular model of an Enriques surface.
	enriques.mathematik.uni-mainz.de /docs/enriques.shtml (367 words)

	Enriques (Site not responding. Last check: 2007-10-18)
		Mathematician Federigo Enriques, here on holiday in the Alps ca.
		His 1902 course "Filosofia della scienza" was addressed to students in the natural sciences, humanities, law, and medicine.
		The course dealt with topics later developed by Enriques in his Problemi della scienza (Bologna, Zanichelli, 1906, reprinted 1984; American translation: Chicago, The Open Court, 1914).
	cis.alma.unibo.it /NewsLetter/121999nw/Enriques.htm (72 words)

	Search Results for Bologna
		Enriques was appointed to the University of Bologna where he taught projective geometry and descriptive geometry.
		G Castelnuovo, Commemorazione di Federigo Enriques, Federigo Enriques : Memorie scelte di geometria (Bologna, 1956-66).
		S Di Sieno and M Galuzzi, Mathematics and the history of mathematics in the works of Federigo Enriques (Italian), Italian mathematics between the two world wars (Bologna, 1987), 161-168.
	www-history.mcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Bologna&CONTEXT=1 (4071 words)

	Oscar Chisini (Site not responding. Last check: 2007-10-18)
		He then held the position of chairman of the Institute from the early 1930s until 1959.
		He graduated from the University of Bologna in 1912, having studied under Federigo Enriques.
		In 1952 he had the appellation "Federigo Enriques" attached to the Institute, to commemorate his memory.
	www.worldhistory.com /wiki/O/Oscar-Chisini.htm (254 words)

	[SuSE Linux] Re: The SuSE images
		It's some kind > > of Enriques surface, but please don't ask me about details, the > > formula to compute this image it pretty complicated...
		A simple algebraic surface for example are all points that satisfy the equation x²+y²+z²-1=0, which is a sphere with radius 1 and center at origin.
		Enriques surfaces are something "similar", but the formula is somewhat more complex ;-) In fact, you cannot see an Enriques surface itself, but only some model of it.
	www.mail-archive.com /suse-linux-e@suse.com/msg02224.html (321 words)

	[No title]
		This led, in particular, to papers by Gino Fano and Federigo Enriques.
		In this talk the approach to the foundations of geometry of both Peano’s and Segre’s schools will be discussed and compared with Hilbert’s axiomatic method as presented in his 1899 Grundlagen der Geometrie.
		The first contributions of Zariski, who has been a student of Castelnuovo in Roma, are not so different from the ones of other Italian students of Enriques and Castelnuovo, like Oscar Chisini.
	www.dm.unipi.it /~meet2002/italiano/abstracts/session28.doc (960 words)

	oc
		ABSTRACT: Federigo Enriques' book Problemi della Scienza of 1906 (English translation Problems of Science, 1910) is a prolonged attempt to define and distinguish between facts and theories in order to analyse what constitutes reality.
		It is a positivist, somewhat anti-Kantian work, and it can be read as a long conversation between Enriques and Poincaré.
		In this talk I shall draw out the views, sometimes in agreement, sometimes in conflict, of these two men, and illuminate contemporary issues in the philosophy of geometry.
	www.mathnet.ruc.dk /mathphys.html (2482 words)

	Historia Matematica Mailing List Archive: Re: [HM] geometry (Site not responding. Last check: 2007-10-18)
		Enriques, Federigo: L' Evolution des Idees Geometriques dans la
		Enriques, Federigo - Chisini, Oscar: Courbes et Fonctions Algebriques
		by H.S. Carslaw, with an Introduction by Federigo Enriques.
	sunsite.utk.edu /math_archives/.http/hypermail/historia/jun99/0021.html (132 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		This process culminated with the devastation of the scientific community caused by the enactment of anti-semitic laws in 1938.
		In this talk I will discuss the role played by prominent Italian mathematicians (including Francesco Severi, Mauro Picone, Guido Castelnuovo, Federigo Enriques, Vito Volterra, and Tullio Levi-Civita) in the cultural and political events of the time.
		The goal of the talk is to isolate and elaborate on the main reasons for the decline of Italian mathematics in the period between the two world wars.
	www.math.gatech.edu /~msyming/horizons/benzi03.html (200 words)

	The Work of W.K. Clifford
		Federigo Enriques went still further in his 1906 book on the Problems of Science.
		Enriques would have had no reason to believe that the future date of which he speculated was only one decade away.
		Although he was a mathematician, his book was quite explicit in the explanation of physical theories.
	members.aol.com /jebco1st/Paraphysics/twist3.htm (3735 words)

	Jeremy Gray
		The classification of algebraic surfaces by Castelnuovo and Enriques’, Mathematical Intelligencer 21.1 (1999), 59-66
		Guido Castelnuovo (1864-1952) and Federigo Enriques (1871-1946) met in Rome in 1892 and began to work on algebraic surfaces, pursuing the idea that a Riemann-Roch Theorem for surfaces would be a powerful tool.
		Aspects of the history of the Riemann-Roch Theorem, from its discovery by Riemann and Roch to its use by Castelnuovo and Enriques.
	puremaths.open.ac.uk /pmd_department/pmd_gray (3149 words)

	[No title]
		La mostra e' dedicata ai contributi di Federigo Enriques (1871-1946) e Guido Castelnuovo (1865-1952) alla classificazione delle superfici algebriche, ed era stata organizzata a Milano nel 1996 presso il Dipartimento di Matematica "F.Enriques", in occasione della ricorrenza del cinquantesimo anniversario della scomparsa di Federigo Enriques, per celebrare la figura scientifica dell'insigne matematico.
		Questo avvenimento vuole anche sottolineare l'importanza del rapporto scientifico tra Enriques e Guido Castelnuovo, testimoniato da una fittissima corrispondenza, che la mostra permette di esaminare attraverso l'esposizione di numerose lettere originali.
		La loro classificazione costituisce il contributo fondamentale del nostro paese allo sviluppo della geometria algebrica e ha dato a Enriques e a Castelnuovo una posizione di assoluto rilievo nella storia della matematica di questo secolo.
	www.iac.rm.cnr.it /simai/notiziario/1998/1.txt (2206 words)

	[No title]
		In this paper instead, the main application is for the construction of surfaces with birational canonical map (so called simple canonical surfaces) and high K2, for instance we construct such surfaces with pg = 4; 11 <= K2 <= 28, against a prediction of F. Enriques that 24 should be the maximum allowed.
		Moreover, we find, among several new examples of surfaces, some surfaces with pg = q = 1, K2 = 4; 5, and also some infinite series of surfaces whose canonical map is composed of a pencil of curves of genus 2 or 3, with non costant moduli.
		Enriques indeed had conjectured that K2 = 24 should be the maximumpossible value for a simple canonical surface with pg = 4, but we show in this paper that his prediction, based on the conjecture that the expected number of moduli should be strictly positive, does not hold true.
	www.mathematik.uni-osnabrueck.de /projects/carmen/AP11/test/file142.html (10237 words)

	APC - My Tools
		It is located in the university district of Milan.
		Professor Chisini himself, who acted as head of the College from the early 1930s to 1959, proposed to name the College after his own teacher, the well-known mathematician Federigo Enriques.
		This name has not changed even though the College was turned into a Department in 1982.
	www.apcc.com /tools/mytools/index.cfm?action=display&id=74A83320-C299-3351-05B978F90F2EE62C (597 words)

	Logic - Questia Online Library (Site not responding. Last check: 2007-10-18)
		Book by Louis Couturat, Benedetto Croce, Federigo Enriques, Nicolaj Losskij, B. Ethel Meyer, Josiah Royce, Arnold Ruge, Wilhelm Windelband; Macmillan, 1913
		Contributors: Louis Couturat - author, Benedetto Croce - author, Federigo Enriques - author, Nicolaj Losskij - author, B. Ethel Meyer - transltr, Josiah Royce - author, Arnold Ruge - author, Wilhelm Windelband - author.
		Choose a subscription plan to save tons of time, stress and hassle, and do better research, faster.
	www.questia.com /PM.qst?a=o&d=94067708 (106 words)

	ESF UBO
		Centro Interdipartimentale di Ricerca in Epistemologia e Storia delle Scienze "Federigo Enriques"
		OBSERVATION AND EXPERIMENT IN THE NATURAL AND SOCIAL SCIENCES
		For information regarding accommodation and travelling please contact:
	www.univie.ac.at /ivc/aktuell/bologna.html (232 words)

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