Fields Institute Communications

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

Editors: Laza, Radu, Schütt, Matthias, Yui, Noriko (Eds.)

  • ​Surveys the very active field of Calabi-Yau varieties from a geometric and arithmetic perspective
  • Includes four introductory lectures that can be used by graduate students and other researchers as a guide to the field
  • Contains a varied selection of topics from pure arithmetic questions to geometric questions to Hodge theory
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  • ISBN 978-1-4614-6403-7
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Hardcover $179.00
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  • ISBN 978-1-4614-6402-0
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Softcover $179.00
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  • ISBN 978-1-4899-9918-4
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About this book

In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on  Arithmetic and Geometry of  K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi–Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated.

 

Unlike most other conferences, the 2011 Calabi–Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.

Table of contents (24 chapters)

  • K3 and Enriques Surfaces

    Kondō, Shigeyuki

    Pages 3-28

  • Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties

    Lewis, James D.

    Pages 29-69

  • Two Lectures on the Arithmetic of K3 Surfaces

    Schütt, Matthias

    Pages 71-99

  • Modularity of Calabi–Yau Varieties: 2011 and Beyond

    Yui, Noriko

    Pages 101-139

  • Explicit Algebraic Coverings of a Pointed Torus

    Anema, Ane S. I. (et al.)

    Pages 143-152

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-1-4614-6403-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-1-4614-6402-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-1-4899-9918-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
Editors
  • Radu Laza
  • Matthias Schütt
  • Noriko Yui
Series Title
Fields Institute Communications
Series Volume
67
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6403-7
DOI
10.1007/978-1-4614-6403-7
Hardcover ISBN
978-1-4614-6402-0
Softcover ISBN
978-1-4899-9918-4
Series ISSN
1069-5265
Edition Number
1
Number of Pages
XXVI, 602
Number of Illustrations and Tables
25 b/w illustrations, 16 illustrations in colour
Topics