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SUMMARY:Ana-Maria Castravet (Université Paris-Saclay\, UVSQ)
DTSTART:20201207T130000Z
DTEND:20201207T140000Z
DTSTAMP:20260423T024610Z
UID:EDGE2020/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EDGE2020/1/"
 >Blown-up toric surfaces with non-polyhedral effective cone</a>\nby Ana-Ma
 ria Castravet (Université Paris-Saclay\, UVSQ) as part of EDGE 2020 (onli
 ne)\n\n\nAbstract\nI will report on recent joint work with Antonio Laface\
 , Jenia Tevelev and Luca Ugaglia. We construct examples of projective tori
 c surfaces whose blow-up at a general point has a non-polyhedral effective
  cone\, both in characteristic 0 and in prime characteristic.  As a conseq
 uence\, we prove that the effective cone of the Grothendieck-Knudsen modul
 i space of stable\, n-pointed\, rational stable  curves\, is not polyhedra
 l if  n>=10 in characteristic 0 and in positive characteristic for an infi
 nite set of primes of positive density. In particular\, these moduli space
 s are not Mori dream spaces even in positive characteristic.\n
LOCATION:https://researchseminars.org/talk/EDGE2020/1/
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