Rationality of Varieties: 342 (Progress in Mathematics, 342) [Hardcover] [Oct 20, 2021] Farkas, Gavril; Van Der Geer, Gerard; Shen, Mingmin and Taelman, Lenny

ISBN 10: 3030754200 / ISBN 13: 9783030754204

Published by Birkhäuser, 2021

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Bibliographic Details

• Title: Rationality of Varieties: 342 (Progress in Mathematics, 342) [Hardcover] [Oct 20, 2021] Farkas, Gavril; Van Der Geer, Gerard; Shen, Mingmin and Taelman, Lenny
• Publisher: Birkhäuser
• Publication Date: 2021
• Language: English
• ISBN 10: 3030754200
• ISBN 13: 9783030754204
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.