Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

Table of Contents

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   Book Overview
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   Chapter 1 K3 and Enriques Surfaces
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   Chapter 2 Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties
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   Chapter 3 Two Lectures on the Arithmetic of K3 Surfaces
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   Chapter 4 Modularity of Calabi–Yau Varieties: 2011 and Beyond
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   Chapter 5 Explicit Algebraic Coverings of a Pointed Torus
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   Chapter 6 Elliptic Fibrations on the Modular Surface Associated to Γ 1 (8)
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   Chapter 7 Universal Kummer Families Over Shimura Curves
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   Chapter 8 Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic
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    Chapter 9 Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials
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    Chapter 10 A Structure Theorem for Fibrations on Delsarte Surfaces
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    Chapter 11 Fourier–Mukai Partners and Polarised $$\mathop{\mathrm{K3}}\nolimits$$ Surfaces
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    Chapter 12 On a Family of K3 Surfaces with $$\mathcal{S}_{4}$$ Symmetry
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    Chapter 13 K 1 ind of Elliptically Fibered K 3 Surfaces: A Tale of Two Cycles
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    Chapter 14 A Note About Special Cycles on Moduli Spaces of K3 Surfaces
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    Chapter 15 Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms
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    Chapter 16 Quartic K3 Surfaces and Cremona Transformations
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    Chapter 17 Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Reduction
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    Chapter 18 Dynamics of Special Points on Intermediate Jacobians
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    Chapter 19 Calabi–Yau Conifold Expansions
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    Chapter 20 Quadratic Twists of Rigid Calabi–Yau Threefolds Over ℚ
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    Chapter 21 Counting Sheaves on Calabi–Yau and Abelian Threefolds
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    Chapter 22 The Segre Cubic and Borcherds Products
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    Chapter 23 Quasi-modular Forms Attached to Hodge Structures
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    Chapter 24 The Zero Locus of the Infinitesimal Invariant