Get 40% off of select print and eBooks in Engineering & Materials Science!

Lecture Notes of the Unione Matematica Italiana

Birational Geometry of Hypersurfaces

Gargnano del Garda, Italy, 2018

Editors: Hochenegger, Andreas, Lehn, Manfred, Stellari, Paolo (Eds.)

Free Preview
  • Describes the most intriguing Hodge-theoretic aspects of cubic fourfolds
  • Presents well-written surveys by leading experts on recent developments on rationality questions for hypersurfaces
  • Provides a comprehensive and state-of-the-art introduction to the new and exciting subject of non-commutative K3 surfaces
  •  
see more benefits

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-030-18638-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-030-18637-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results.

The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkähler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side.

Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger.

 


Table of contents (7 chapters)

Table of contents (7 chapters)
  • Birational Invariants and Decomposition of the Diagonal

    Pages 3-71

    Voisin, Claire

  • Non rationalité stable sur les corps quelconques

    Pages 73-110

    Colliot-Thélène, Jean-Louis

  • Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder

    Pages 111-125

    Colliot-Thélène, Jean-Louis

  • The Rigidity Theorem of Fano–Segre–Iskovskikh–Manin–Pukhlikov–Corti–Cheltsov–de Fernex–Ein–Mustaţă–Zhuang

    Pages 129-164

    Kollár, János

  • Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories

    Pages 165-198

    Huybrechts, Daniel

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-030-18638-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-030-18637-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Birational Geometry of Hypersurfaces
Book Subtitle
Gargnano del Garda, Italy, 2018
Editors
  • Andreas Hochenegger
  • Manfred Lehn
  • Paolo Stellari
Series Title
Lecture Notes of the Unione Matematica Italiana
Series Volume
26
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-18638-8
DOI
10.1007/978-3-030-18638-8
Softcover ISBN
978-3-030-18637-1
Series ISSN
1862-9113
Edition Number
1
Number of Pages
IX, 297
Number of Illustrations
36 b/w illustrations
Topics