Cohomological and Geometric Approaches to Rationality Problems : New Perspectives

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 on...

Πλήρης περιγραφή

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Bogomolov, Fedor
Άλλοι συγγραφείς: Tschinkel, Yuri (Επιμελητής έκδοσης), Bogomolov, Fedor, 1946- (Διευθυντής έκδοσης), Tschinkel, Yuri, 19..- (Διευθυντής έκδοσης)
Μορφή: Livre numérique
Γλώσσα:Anglais
Έκδοση: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Έκδοση:1.
Σειρά:Progress in Mathematics 282
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Edition sous un autre format:• Cohomological and geometric approaches to rationality problems, new perspectives, Fedor Bogomolov, Yuri Tschinkel, editors, Boston, Birkhäuser, 2010, 1 vol. (IX-311 p.), Progress in mathematics, 978-0-8176-4933-3
• Cohomological and Geometric Approaches to Rationality Problems, Texte imprimé, 9780817649364
• Cohomological and geometric approaches to rationality problems, new perspectives, Fedor Bogomolov, Yuri Tschinkel, editors, Boston, Birkhäuser, 2010, 1 vol. (IX-311 p.), Progress in mathematics, 978-0-8176-4933-3
Περιγραφή
Περίληψη: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
Περιγραφή τεκμηρίου:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9780817649340
ISSN:2296-505X
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