Book 2013

Birational Geometry, Rational Curves, and Arithmetic


ISBN: 978-1-4614-6481-5 (Print) 978-1-4614-6482-2 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-ix

  2. Chapter

    Pages 1-13

    Infinite Transitivity on Affine Varieties

  3. Chapter

    Pages 15-55

    The Birational Geometry of the Hilbert Scheme of Points on Surfaces

  4. Chapter

    Pages 57-76

    Isoclinism and Stable Cohomology of Wreath Products

  5. Chapter

    Pages 77-92

    Unirationality and Existence of Infinitely Transitive Models

  6. Chapter

    Pages 93-132

    Birational Geometry via Moduli Spaces

  7. Chapter

    Pages 133-145

    Curves of Low Degrees on Fano Varieties

  8. Chapter

    Pages 147-162

    Uniruledness Criteria and Applications

  9. Chapter

    Pages 163-169

    The Cone of Curves of K3 Surfaces Revisited

  10. Chapter

    Pages 171-203

    Around and Beyond the Canonical Class

  11. Chapter

    Pages 205-227

    On the Ubiquity of Twisted Sheaves

  12. Chapter

    Pages 229-292

    Algebraic Surfaces in Positive Characteristic

  13. Chapter

    Pages 293-319

    Arithmetic of Del Pezzo surfaces