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SUMMARY:Takumi Murayama (Princeton University)
DTSTART:20200624T190000Z
DTEND:20200624T200000Z
DTSTAMP:20260423T022838Z
UID:etag2020/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/etag2020/6/"
 >Every variety is birational to a weakly normal hypersurface</a>\nby Takum
 i Murayama (Princeton University) as part of Experimental Talks in Algebra
 ic Geometry\n\n\nAbstract\nClassically\, it is known that every variety is
  birational to a projective hypersurface. For curves and surfaces\, this h
 ypersurface can be taken to have at worst nodal and at worst ordinary sing
 ularities\, respectively. We will prove that in arbitrary dimension\, this
  hypersurface can be taken to be weakly normal\, and for smooth projective
  varieties of dimension at most five\, this hypersurface can be taken to h
 ave semi-log canonical singularities. These results are due to Roberts and
  Zaare-Nahandi and to Doherty in characteristic zero\, respectively\, and 
 to Rankeya Datta and myself in positive characteristic. Attendees will be 
 asked to do some concrete computations with polynomials.\n
LOCATION:https://researchseminars.org/talk/etag2020/6/
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