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Table of contents (15 papers)
Keywords
About this book
This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles, various aspects of stable birationality, cubic and Fano fourfolds, rationality of moduli spaces and birational invariants of group actions on varieties, contributed by the foremost experts in their fields.
The question of whether an algebraic variety can be parametrized by rational functions of as many variables as its dimension has a long history and played an important role in the history of algebraic geometry. Recent developments in algebraic geometry have made this question again a focal point of research and formed the impetus to organize a conference in the series of conferences on the island of Schiermonnikoog. The book follows in the tradition of earlier volumes, which originated from conferences on the islands Texel and Schiermonnikoog.
Editors and Affiliations
Bibliographic Information
Book Title: Rationality of Varieties
Editors: Gavril Farkas, Gerard van der Geer, Mingmin Shen, Lenny Taelman
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-030-75421-1
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-75420-4Published: 20 October 2021
Softcover ISBN: 978-3-030-75423-5Published: 21 October 2022
eBook ISBN: 978-3-030-75421-1Published: 19 October 2021
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: IX, 433
Number of Illustrations: 9 b/w illustrations
Topics: Algebraic Geometry