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SUMMARY:Elisa Lorenzo García (Universtiy of Rennes 1)
DTSTART:20201112T173000Z
DTEND:20201112T183000Z
DTSTAMP:20260422T054103Z
UID:SFUQNTAG/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/14/
 ">Primes of bad reduction for CM curves of genus 3 and their exponents on 
 the discriminant</a>\nby Elisa Lorenzo García (Universtiy of Rennes 1) as
  part of SFU NT-AG seminar\n\n\nAbstract\nLet O be an order in a sextic CM
  field. In order to construct genus 3 curves whose Jacobian has CM by O we
  need to construct class polynomials\, and for doing this we need to contr
 ol the primes in the discriminant of the curves and their exponents. In pr
 evious works I studied the so-called "embedding problem" in order to bound
  the primes of bad reduction. In the present one we give an algorithm to e
 xplicitly compute them and we bound the exponent of those primes in the di
 scriminant for the hyperelliptic case. Several examples will be given.\n\n
 (joint work with S. Ionica\, P. Kilicer\, K. Lauter\, A. Manzateanu and C.
  Vincent)\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/14/
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