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A classification for reduction types of curves

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The primary invariant for a family of curves is the combinatorial description of `bad’ fibers. When the curves are elliptic, the classification of possible geometric configurations (`reduction types’) is due to Kodaira and Neron, in genus 2 to Namikawa-Ueno, and in genus 3 to Ashikaga-Ishizaka. In this talk, I would like to describe a possible classification for curves of arbitrary genus.

This talk is part of the Number Theory Seminar series.

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