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Number Theory Seminar - Padmavathi Srinivasan

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February 22, 2016
4:30 pm - 5:30 pm
Math Tower 154

Title: Conductors and minimal discriminants of hyperelliptic curves with rational Weierstrass points

Speaker: Padmavathi Srinivasan

Abstract: Conductors and minimal discriminants are two measures of degeneracy of the singular fiber in a family of hyperelliptic curves. In the case of elliptic curves, the Ogg-Saito formula shows that (the negative of) the Artin conductor equals the minimal discriminant. In the case of genus two curves, equality no longer holds in general, but the two invariants are related by an inequality. We investigate the relation between these two invariants for hyperelliptic curves of arbitrary genus.

Seminar URL: https://research.math.osu.edu/numbertheory/number.php

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Seminar - Number Theory