The Moduli Space of Curves
The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent develo...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
1995, 1995
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| Edition: | 1st ed. 1995 |
| Series: | Progress in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Distribution of rational points and Kodaira dimension of fiber products
- How many rational points can a curve have?
- Quantum cohomology of rational surfaces
- Quantum intersection rings
- Mirror symmetry and elliptic curves
- A generalized Jacobi theta function and quasimodular forms
- Boundary behaviour of Hurwitz schemes
- Operads and moduli spaces of genus 0 Riemann surfaces
- Resolution of diagonals and moduli spaces
- The Chow ring of the moduli space of curves of genus 5
- The cohomology of algebras over moduli spaces
- Enumeration of rational curves via torus actions
- Cellular decompositions of compactified moduli spaces of pointed curves
- Generating functions in algebraic geometry and sums over trees
- Holomorphicity and non-holomorphicity in N = 2 supersymmetric field theories
- An arithmetic problem in surface geometry
- An orbifold partition of