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Fields Institute Monographs

Calabi-Yau Varieties: Arithmetic, Geometry and Physics

Lecture Notes on Concentrated Graduate Courses

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

  • Fills a gap in the existing literature, presenting a friendly yet comprehensive introduction of the subject matter
  • Covers diverse streams of current research
  • Provides quick exposure to rapidly developing subjects
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eBook $109.00
price for USA (gross)
  • ISBN 978-1-4939-2830-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4939-2829-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-4988-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi–Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross–Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area.

The contributions in this book are based on lectures that took place during workshops with the following thematic titles: “Modular Forms Around String Theory,” “Enumerative Geometry and Calabi–Yau Varieties,” “Physics Around Mirror Symmetry,” “Hodge Theory in String Theory.”  The book is ideal for graduate students and researchers learning about Calabi–Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.

Table of contents (15 chapters)

  • The Geometry and Moduli of K3 Surfaces

    Harder, Andrew (et al.)

    Pages 3-43

  • Picard Ranks of K3 Surfaces of BHK Type

    Kelly, Tyler L.

    Pages 45-63

  • Reflexive Polytopes and Lattice-Polarized K3 Surfaces

    Whitcher, Ursula

    Pages 65-79

  • An Introduction to Hodge Structures

    Filippini, Sara Angela (et al.)

    Pages 83-130

  • Introduction to Nonabelian Hodge Theory

    García-Raboso, Alberto (et al.)

    Pages 131-171

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4939-2830-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4939-2829-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-4988-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Calabi-Yau Varieties: Arithmetic, Geometry and Physics
Book Subtitle
Lecture Notes on Concentrated Graduate Courses
Editors
  • Radu Laza
  • Matthias Schütt
  • Noriko Yui
Series Title
Fields Institute Monographs
Series Volume
34
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-1-4939-2830-9
DOI
10.1007/978-1-4939-2830-9
Hardcover ISBN
978-1-4939-2829-3
Softcover ISBN
978-1-4939-4988-5
Series ISSN
1069-5273
Edition Number
1
Number of Pages
X, 547
Number of Illustrations and Tables
59 b/w illustrations, 12 illustrations in colour
Topics