Log-Canonical Rings of Graph Curves 公开
Baker, William (2016)
Published
Abstract
I generalize David Zureick-Brown and John Voight's work on log-canonical rings to graph curves. I use a paper of Noot as a starting point. I outline some of the difficulties in developing Max Noether-like and Petri-like theorems. I work out theorems for the generators of most well behaved graph curves. I also find a useful construction for hyperelliptic graph curves.
Table of Contents
Introduction - 1
Noneffective canoincal divisors and bridges - 2
Inductive Step - 3
One point log divisors - 3
Two point log divisors - 4
Three point log divisors - 5
Hyper Elliptic Curves - 5
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