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SUMMARY:Partially positive line bundles - Totaro\, B (DPMMS\, Cambridge)
DTSTART:20110512T093000Z
DTEND:20110512T103000Z
UID:TALK31276@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Define a line bundle L on a projective variety to be q-ample\,
  for a natural number q\, if tensoring with high powers of L kills coheren
 t sheaf cohomology above dimension q. Thus 0-ampleness is the usual notion
  of ampleness. Intuitively\, a line bundle is q-ample if it is positive "i
 n all but at most q directions".\n\nWe prove some of the basic properties 
 of q-ample line bundles. Related ideas have been used by Ottem to define w
 hat an "ample subvariety" of any codimension should mean.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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