Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

Part I. Introductory Lectures

1. K3 and Enriques Surfaces
Shigeyuki Kondō

2. Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties
James D. Lewis

3. Two Lectures on the Arithmetic of K3 Surfaces
Matthias Schütt

4. Modularity of Calabi–Yau Varieties: 2011 and Beyond
Noriko Yui

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

5. Explicit Algebraic Coverings of a Pointed Torus
Ane S. I. Anema, Jaap Top

6. Elliptic Fibrations on the Modular Surface Associated to Γ
1(8)
M. J. Bertin, O. Lecacheux

7. Universal Kummer Families Over Shimura Curves
Amnon Besser, Ron Livné

8. Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic
Igor V. Dolgachev

9. Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials
Swantje Gährs

10. A Structure Theorem for Fibrations on Delsarte Surfaces
Bas Heijne, Remke Kloosterman

11. Fourier–Mukai Partners and Polarised Symmetry
Dagan Karp, Jacob Lewis, Daniel Moore, Dmitri Skjorshammer, Ursula Whitcher

13.
K
1
ind of Elliptically Fibered K3 Surfaces: A Tale of Two Cycles
Matt Kerr

14. A Note About Special Cycles on Moduli Spaces of K3 Surfaces
Stephen Kudla

15. Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms
Shigeru Mukai, Hisanori Ohashi

16. Quartic K3 Surfaces and Cremona Transformations
Keiji Oguiso

17. Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Reduction
Chad Schoen

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

18. Dynamics of Special Points on Intermediate Jacobians
Xi Chen, James D. Lewis

19. Calabi–Yau Conifold Expansions
Slawomir Cynk, Duco Straten

20. Quadratic Twists of Rigid Calabi–Yau Threefolds Over ℚ

Fernando Q. Gouvêa, Ian Kiming, Noriko Yui

21. Counting Sheaves on Calabi–Yau and Abelian Threefolds
Martin G. Gulbrandsen

22. The Segre Cubic and Borcherds Products
Shigeyuki Kondō

23. Quasi-modular Forms Attached to Hodge Structures
Hossein Movasati

24. The Zero Locus of the Infinitesimal Invariant
G. Pearlstein, Ch. Schnell

Keywords: Mathematics, Algebraic Geometry, Number Theory, Differential Geometry, Mathematical Physics