Book Volume 67 2013

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds


ISBN: 978-1-4614-6402-0 (Print) 978-1-4614-6403-7 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages i-xxvi

  2. Introductory Lectures

    1. Front Matter

      Pages 1-1

    2. Chapter

      Pages 3-28

      K3 and Enriques Surfaces

    3. Chapter

      Pages 29-69

      Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties

    4. Chapter

      Pages 71-99

      Two Lectures on the Arithmetic of K3 Surfaces

    5. Chapter

      Pages 101-139

      Modularity of Calabi–Yau Varieties: 2011 and Beyond

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

    1. Front Matter

      Pages 141-141

    2. Chapter

      Pages 143-152

      Explicit Algebraic Coverings of a Pointed Torus

    3. Chapter

      Pages 153-199

      Elliptic Fibrations on the Modular Surface Associated to Γ 1(8)

    4. Chapter

      Pages 201-265

      Universal Kummer Families Over Shimura Curves

    5. Chapter

      Pages 267-283

      Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic

    6. Chapter

      Pages 285-310

      Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials

    7. Chapter

      Pages 311-332

      A Structure Theorem for Fibrations on Delsarte Surfaces

    8. Chapter

      Pages 333-365

      Fourier–Mukai Partners and Polarised \(\mathop{\mathrm{K3}}\nolimits\) Surfaces

    9. Chapter

      Pages 367-386

      On a Family of K3 Surfaces with \(\mathcal{S}_{4}\) Symmetry

    10. Chapter

      Pages 387-409

      K 1 ind of Elliptically Fibered K3 Surfaces: A Tale of Two Cycles

    11. Chapter

      Pages 411-427

      A Note About Special Cycles on Moduli Spaces of K3 Surfaces

    12. Chapter

      Pages 429-454

      Enriques Surfaces of Hutchinson–Göpel Type and Mathieu Automorphisms

    13. Chapter

      Pages 455-460

      Quartic K3 Surfaces and Cremona Transformations

    14. Chapter

      Pages 461-487

      Invariants of Regular Models of the Product of Two Elliptic Curves at a Place of Multiplicative Reduction

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

    1. Front Matter

      Pages 489-489

    2. Chapter

      Pages 491-498

      Dynamics of Special Points on Intermediate Jacobians

    3. Chapter

      Pages 499-515

      Calabi–Yau Conifold Expansions

    4. Chapter

      Pages 517-533

      Quadratic Twists of Rigid Calabi–Yau Threefolds Over

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