Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

  • Radu Laza
  • Matthias Schütt
  • Noriko Yui

Part of the Fields Institute Communications book series (FIC, volume 67)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Introductory Lectures

  3. Research Articles: Arithmetic and Geometry of K3, Enriques and Other Surfaces

  4. Research Articles: Arithmetic and Geometry of Calabi-Yau Threefolds and Higher Dimentional Varieties

    1. Front Matter
      Pages 489-489
    2. Xi Chen, James D. Lewis
      Pages 491-498
    3. Slawomir Cynk, Duco van Straten
      Pages 499-515
    4. Fernando Q. Gouvêa, Ian Kiming, Noriko Yui
      Pages 517-533
    5. Martin G. Gulbrandsen
      Pages 535-548
    6. Shigeyuki Kondō
      Pages 549-565
    7. Hossein Movasati
      Pages 567-587
    8. G. Pearlstein, Ch. Schnell
      Pages 589-602

About this book


In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both the 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 large 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 three days of introductory lectures. A selection of four of these lectures is included in this volume. These lectures can be used as a starting point for graduate students and other junior researchers, or as a guide to the subject.


$K3$ surfaces and Enriques surfaces Calabi-Yau manifolds cycles and subschemes variation of Hodge structures

Editors and affiliations

  • Radu Laza
    • 1
  • Matthias Schütt
    • 2
  • Noriko Yui
    • 3
  1. 1., Mathematics DepartmentStony Brook UniversityStony BrookUSA
  2. 2., Institut für Algebraische GeometrieLeibniz Universität HannoverHannoverGermany
  3. 3., Department of Math & StatsQueen's UniversityKingstonCanada

Bibliographic information