Log-Canonical Rings of Graph Curves Open Access

Baker, William (2016)

Permanent URL: https://etd.library.emory.edu/concern/etds/3b591889s?locale=en
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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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