Date of Award
5-2011
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
First Thesis Advisor
Dagan Karp
Second Thesis Advisor
Eric Katz
Rights Information
© 2011 Max B. Kutler
Terms of Use & License Information
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.
Recommended Citation
Kutler, Max B., "Group Actions and Divisors on Tropical Curves" (2011). HMC Senior Theses. Paper 5.
http://scholarship.claremont.edu/hmc_theses/5
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