Meromorphic functions and projective curves /

Bibliographic Details
Main Author:	Yang, Kichoon
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Dordrecht ; Boston : Kluwer Academic Publishers, [1999]
Series:	Mathematics and its applications (Kluwer Academic Publishers) ; v. 464.
Subjects:	Functions, Meromorphic. Curves, Algebraic. Courbe projective. Théorie Brill-Noether. Géométrie métrique courbe. Fonctions méromorphes. Courbes algébriques. Géométrie différentielle projective. Surfaces minimales. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Ch. 1. Foundational Material. 1.1. Basic Sheaf Theory. 1.2. Sheaf Cohomology. 1.3. Cech Cohomology with Coefficients in a Sheaf. 1.4. Divisors and the Riemann-Roch Theorem. 1.4. Weierstrass Points. 1.5. The Jacobian Variety
Ch. 2. Analytic and Algebraic Families. 2.1. Families and Parameter Spaces. 2.2. Algebraic Families. 2.3. The Hilbert Polynomial
Ch. 3. Meromorphic Functions. 3.1. Meromorphic Functions of Higher Degree. 3.2. Families of Meromorphic Functions. 3.3. Base-Point-Free Linear Series. 3.4. Canonical Curves and Quadrics. 3.5. Associated Curves
Ch. 4. Brill-Noether Theory. 4.1. Determinantal Varieties. 4.2. More Sheaves and Vector Bundles. 4.3. The Brill-Noether Theorem