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Georgia Southern University

Electronic Theses and Dissertations

Theses/Dissertations

2017

Enumerative geometry

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A Journey To Fuzzy Rings, Brett T. Ernst Jan 2017

A Journey To Fuzzy Rings, Brett T. Ernst

Electronic Theses and Dissertations

Enumerative geometry is a very old branch of algebraic geometry. In this thesis, we will describe several classical problems in enumerative geometry and their solutions in order to motivate the introduction of tropical geometry. Finally, fuzzy rings, a powerful algebraic framework for tropical and algebraic geometry is introduced.