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SUMMARY:Wouter Castryck (KU Leuven) and Floris Vermeulen (KU Leuven)
DTSTART:20200703T153000Z
DTEND:20200703T160000Z
DTSTAMP:20260423T200914Z
UID:ANTS14/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTS14/22/">
 Lifting low-gonal curves for use in Tuitman's algorithm</a>\nby Wouter Cas
 tryck (KU Leuven) and Floris Vermeulen (KU Leuven) as part of Algorithmic 
 Number Theory Symposium (ANTS XIV)\n\n\nAbstract\nConsider a smooth projec
 tive curve $\\overline{C}$ over a finite field of odd characteristic\, equ
 ipped with a simply branched morphism $\\overline{C} \\to \\PP^1$ of degre
 e $d \\leq 4$. In this article we describe how to efficiently compute a li
 ft of $\\overline{C}$ to characteristic zero\, such that it can be fed as 
 input to Tuitman's algorithm for computing the Hasse--Weil zeta function o
 f $\\overline{C}$. The full version of this paper\, which is available on 
 arXiv\, also discusses the case $d=5$ over finite fields of characteristic
  $ >3$.\n\nChairs: Marco Streng and David Kohel\n
LOCATION:https://researchseminars.org/talk/ANTS14/22/
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