Book Volume 315 2016

K3 Surfaces and Their Moduli

Editors:

ISBN: 978-3-319-29958-7 (Print) 978-3-319-29959-4 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-ix

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    Chapter

    Pages 1-15

    The Automorphism Group of the Hilbert Scheme of Two Points on a Generic Projective K3 Surface

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    Chapter

    Pages 17-53

    Orbital Counting of Curves on Algebraic Surfaces and Sphere Packings

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    Chapter

    Pages 55-72

    Moduli of Polarized Enriques Surfaces

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    Chapter

    Pages 73-95

    Extremal Rays and Automorphisms of Holomorphic Symplectic Varieties

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    Chapter

    Pages 97-110

    An Odd Presentation for W(E6)

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    Chapter

    Pages 111-146

    On the Motivic Stable Pairs Invariants of K3 Surfaces

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    Chapter

    Pages 147-170

    The Igusa Quartic and Borcherds Products

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    Chapter

    Pages 171-235

    Lectures on Supersingular K3 Surfaces and the Crystalline Torelli Theorem

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    Chapter

    Pages 237-243

    On Deformations of Lagrangian Fibrations

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    Chapter

    Pages 245-278

    Curve Counting on K3 × E, The Igusa Cusp Form χ10, and Descendent Integration

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    Chapter

    Pages 279-296

    Simple Abelian Varieties and Primitive Automorphisms of Null Entropy of Surfaces

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    Chapter

    Pages 297-343

    The Automorphism Groups of Certain Singular K3 Surfaces and an Enriques Surface

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    Chapter

    Pages 345-364

    Geometry of Genus 8 Nikulin Surfaces and Rationality of their Moduli

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    Chapter

    Pages 365-399

    Remarks And Questions On Coisotropic Subvarieties and 0-Cycles of Hyper-Kähler Varieties