Moduli of Curves

• Main Authors: Harris, Joe (Author), Morrison, Ian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 1998.
• Series: Graduate Texts in Mathematics, 187
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

Aims Theaimofthisbookistoprovideaguidetoarichandfascinatings- ject: algebraic curves, and how they vary in families. The revolution that the ?eld of algebraic geometry has undergone with the introd- tion of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others,...

Table of Contents:

• Parameter spaces: Constructions and examples
• Basic facts about moduli spaces of curves
• Techniques
• Construction of $$ \overline M _g $$
• Limit Linear Series and Brill-Noether theory
• Geometry of moduli spaces: Selected results.