Work

Group Actions and Divisors on Tropical Curves

Year: 2011

Type: dissertation

Abstract: Tropical geometry is algebraic geometry over the tropical semiring, or min-plus algebra. In this thesis, I discuss the basic geometry of plane tropical curves. By introducing the notion of abstract tropical curves, I am able to pass to a more abstract metric-topological setting. In this setting, I discuss divisors on tropical curves. I begin a study of $G$-invariant divisors and divisor classes.

Source: Scholarship @ Claremont (The Claremont Colleges)

Author: Max Kutler

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Harvey Mudd College

OpenAlex ID: W1520397132

Cites: 8

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Related to: 10