Skip to main content
Skip to main menu


Number Theory Seminar: Padmavathi Srinivasan (Georgia Tech)

Date and time:
Boyd Room 304

Title: Conductors and minimal discriminants of hyperelliptic curves: a comparison in the tame case

Abstract: Conductors and minimal discriminants are two measures of degeneracy of the singular fiber in a family of hyperelliptic curves. In genus one, the Ogg–Saito formula shows that these two invariants are equal, and in genus two, Qing Liu showed that they are related by an inequality. We extend Liu’s inequality to hyperelliptic curves of arbitrary genus assuming that the residue characteristic is large compared to the genus. The key ingredients in this proof are an explicit analysis of regular models arising from Jung’s method of resolving surface singularities, and an understanding of the behaviour of associated metric trees under a natural inductive process.

Support us

We appreciate your financial support. Your gift is important to us and helps support critical opportunities for students and faculty alike, including lectures, travel support, and any number of educational events that augment the classroom experience. Click here to learn more about giving.

Every dollar given has a direct impact upon our students and faculty.