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SUMMARY:Cristhian Garay (CIMAT\, Guanajuato)
DTSTART:20211117T183000Z
DTEND:20211117T200000Z
DTSTAMP:20260423T021526Z
UID:BRAG/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/64/">In
 flection polynomials of linear series on superelliptic curves</a>\nby Cris
 thian Garay (CIMAT\, Guanajuato) as part of Brazilian algebraic geometry s
 eminar\n\n\nAbstract\nWe explore the inflectionary behavior of linear seri
 es on families of marked superelliptic curves (i.e.\, cyclic covers of P^1
 ). The inflection of these linear series supported away from the superelli
 ptic ramification locus is parameterized by the inflection polynomials\, a
  certain infinite class of polynomials generalizing the division polynomia
 ls (which are used to compute the torsion points of elliptic curves).\n\nT
 hese polynomials are remarkable since their properties reflect aspects of 
 the underlying family of superelliptic curves. We also obtain inflectionar
 y varieties\, which describe the global behaviour of the inflection points
  on the family.\n\nIn this talk we will introduce these inflection polynom
 ials and some of their properties.  We report on joint work with Ethan Cot
 terill\, Ignacio Darago\, Changho Han\, and Tony Shaska.\n
LOCATION:https://researchseminars.org/talk/BRAG/64/
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