An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

Authors:

ISBN: 978-3-540-71174-2 (Print) 978-3-540-71175-9 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-5

  2. No Access

    Book Chapter

    Pages 7-15

    Manifolds

  3. No Access

    Book Chapter

    Pages 17-30

    Topology of Riemann Surfaces

  4. No Access

    Book Chapter

    Pages 33-41

    Analytic Structure

  5. No Access

    Book Chapter

    Pages 43-52

    Diffierentials and Integration

  6. No Access

    Book Chapter

    Pages 53-60

    Tori and Jacobians

  7. No Access

    Book Chapter

    Pages 61-70

    Projective Varieties

  8. No Access

    Book Chapter

    Pages 71-86

    Moduli Spaces of Curves

  9. No Access

    Book Chapter

    Pages 87-101

    Vector Bundles, Sheaves and Cohomology

  10. No Access

    Book Chapter

    Pages 103-118

    The Theorem of Riemann–Roch for Line Bundles

  11. No Access

    Book Chapter

    Pages 119-132

    The Mumford Isomorphism on the Moduli Space

  12. No Access

    Book Chapter

    Pages 133-154

    TopoModern Algebraic Geometry

  13. No Access

    Book Chapter

    Pages 155-168

    Schemes

  14. No Access

    Book Chapter

    Pages 169-182

    Hodge Decomposition and K¨ahler Manifold

  15. No Access

    Book Chapter

    Pages 183-202

    Calabi-Yau Manifolds and Mirror Symmetry

  16. Back Matter

    Pages 203-220