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SUMMARY:Ana-Maria Castravet (Université de Versailles St-Quentin-en-Yveli
 nes)
DTSTART:20201013T140000Z
DTEND:20201013T150000Z
DTSTAMP:20260423T021440Z
UID:ZAG/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/57/">Blo
 wn-up toric surfaces with non-polyhedral effective cone</a>\nby Ana-Maria 
 Castravet (Université de Versailles St-Quentin-en-Yvelines) as part of ZA
 G (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nI will report on recent
  joint work with Antonio Laface\, Jenia Tevelev and Luca Ugaglia.\nWe cons
 truct examples of projective toric surfaces whose blow-up at a general poi
 nt has a\nnon-polyhedral pseudoeffective cone\, both in characteristic 0 a
 nd in prime characteristic.\nAs a consequence\, we prove that the pseudo-e
 ffective cone of the Grothendieck-Knudsen moduli space of stable\, n-point
 ed\, rational stable  curves\, is not polyhedral if\nn>=10 in characterist
 ic 0 and in positive characteristic for an infinite set of primes of posit
 ive density.\nIn particular\, these moduli spaces are not Mori dream space
 s even in positive characteristic.\n
LOCATION:https://researchseminars.org/talk/ZAG/57/
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