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Cohomological and Geometric Approaches to Rationality Problems: New Perspectives (282) - Rilegato
Libro 90 di 169: Progress in Mathematics
Sinossi
Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry.
This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties.
This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems.
Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Dalla quarta di copertina
Rationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry.
This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties.
This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems.
I. Bauer
C. Böhning
F. Bogomolov
F. Catanese
I. Cheltsov
N. Hoffmann
S.-J. Hu
M.-C. Kang
L. Katzarkov
B. Kunyavskii
A. Kuznetsov
J. Park
T. Petrov
Yu. G. Prokhorov
A.V. Pukhlikov
Yu. Tschinkel
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Cohomological and Geometric Approaches to Rationality Problems: New Perspectives (Progress in Mathematics, 282)
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry.This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties.This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems.Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov 314 pp. Englisch. Codice articolo 9780817649333
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes papers written by leading experts in the fieldContains a selection of articles exploring rationality problems in algebraic geometryGives a representative sample of problems and most recent results in algebraic geometryMay se. Codice articolo 5975929
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Condizione: New. This volume provides an overview of rationality problems by surveying research from leading experts in the field. Readers will find coverage of rationality problems from both cohomological and algebraic geometry perspectives. Editor(s): Bogomolov, Fedor; Tschinkel, Yuri. Series: Progress in Mathematics. Num Pages: 314 pages, 47 black & white illustrations, 38 black & white tables, biography. BIC Classification: PBG; PBMW. Category: (P) Professional & Vocational. Dimension: 240 x 160 x 24. Weight in Grams: 630. . 2009. Hardback. . . . . Codice articolo V9780817649333
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