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Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olxiz8cry0mpt@uoy1tzdl.lokzde

Talk

Pınar Kılıçer (Universität Oldenburg)

15.06.2017 - W01 0-012 (Wechloy), 16 Uhr s.t.

On primes dividing the invariants of Picard curves

Abstract: The j-invariants of elliptic curves with complex multiplication (CM) are algebraic integers. For invariants of genus g = 2 or 3, this is not the case, though suitably chosen invariants do have smooth denominators in many cases. Bounds on the primes in these denominators have been given for g=2 (Goren-Lauter) and some cases of g=3. For Picard curves of genus 3, we give a new approach based not on bad reduction of curves but on a very explicit type of good reduction. This approach simultaneously yields much sharper bounds and a simplification of the proof. This is a joint work with Marco Streng and Elisa Lorenzo García.

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olxiz8cry0mpt@uoy1tzdl.lokzde

Coordinators

Prof. Dr. Florian Hess
floriannn1.hescnfas@t7uoly6b.de2beq<br /> (flovfrian8n.hessztr@ujeol.de)Phone: +49 (0) 441 798-2906


Prof. Dr. Andreas Stein
andreas.stein@uol.de<brmsi /> (anxsdrea9j1s.st47yzqeinqfz@uolc1t.d1+e)Phone: +49 (0) 441 798-3232

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