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SUMMARY:Evan MacNeil (University of Calgary)\, Michael J. Jacobson (Univer
 sity of Calgary)\, and Renate Scheidler (University of Calgary)
DTSTART:20200630T190000Z
DTEND:20200630T193000Z
DTSTAMP:20260423T200048Z
UID:ANTS14/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTS14/8/">D
 ivisor class group arithmetic on non-hyperelliptic genus 3 curves</a>\nby 
 Evan MacNeil (University of Calgary)\, Michael J. Jacobson (University of 
 Calgary)\, and Renate Scheidler (University of Calgary) as part of Algorit
 hmic Number Theory Symposium (ANTS XIV)\n\n\nAbstract\nWe present novel ex
 plicit formulas for arithmetic in the divisor\nclass group of a $C_{3\,4}$
  curve. Our formulas handle all cases of inputs and outputs\nwithout havin
 g to fall back on a generic method. We also improve on the most\ncommonly 
 occurring case by reducing the number of required field inversions\nto one
  at the cost of a small number of additional field operations\, resulting\
 nin running times that are 11-13% faster than the prior state-of-the-art.\
 n\nThe slides used in the pre-recorded video can be found <a href="https:/
 /math.mit.edu/~drew/ANTSXIV/DivisorClassGroupVideoSlides.pdf">here</a>.\n\
 nChairs: Tom Fisher and Jen Paulhus\n
LOCATION:https://researchseminars.org/talk/ANTS14/8/
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