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Claremont Colleges

Theses/Dissertations

14T05 Tropical geometry

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Group Actions And Divisors On Tropical Curves, Max B. Kutler May 2011

Group Actions And Divisors On Tropical Curves, Max B. Kutler

HMC Senior Theses

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.