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Rationality of Varieties

  • Conference proceedings
  • © 2021


Part of the book series: Progress in Mathematics (PM, volume 342)

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Table of contents (15 papers)


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

  • Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany

    Gavril Farkas

  • Korteweg-de Vries Instituut, Universiteit van Amsterdam, Amsterdam, The Netherlands

    Gerard van der Geer, Mingmin Shen, Lenny Taelman

Bibliographic Information

  • Book Title: Rationality of Varieties

  • Editors: Gavril Farkas, Gerard van der Geer, Mingmin Shen, Lenny Taelman

  • Series Title: Progress in Mathematics

  • DOI:

  • 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

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