On primes dividing the discriminant of genus 3 curves

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• Elisa Lorenzo García (Université de Rennes)
• Tuesday 06 February 2018, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Beth Romano.

Let C be a plane quartic curve defined over a number field. Let p be a prime dividing its discriminant. This prime may be a prime of potentially good reduction, bad reduction or potentially good hyperelliptic reduction. Together with some collaborators, I found a bound for the primes of bad reduction for CM curves of genus 3 ([BCLLMNO15], [KLLNOS]). In this talk we will focus on the primes of hyperelliptic reduction and we will characterise them. This is a joint work with R. Lercier and C. Ritzenthaler.

This talk is part of the Number Theory Seminar series.

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