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SUMMARY:Logarithmic bounds on Fujita's conjecture
DTSTART:20220407T150000
DTEND:20220407T163000
DTSTAMP:20260610T054827Z
UID:602bebf8785a28eb4417a518f525e545fac34d04533eb19f5df8aa85
CATEGORIES:Conferences - Seminars
DESCRIPTION:Justin Lacini (University of Kansas)\nA longstanding conjectur
 e of T. Fujita asserts that if X is a smooth complex projective variety of
  dimension n and if L is an ample line bundle\, then K_X+mL is basepoint f
 ree for m>=n+1. The conjecture is known up to dimension five by work of Re
 ider\, Ein\, Lazarsfeld\, Kawamata\, Ye and Zhu. In higher dimensions\, br
 eakthrough work of Angehrn\, Siu\, Helmke and others showed that the conje
 cture holds if m is larger than a quadratic function in n. We show that fo
 r n>=2 the conjecture holds for m larger than n(loglog(n)+3). This is join
 t work with L. Ghidelli.
LOCATION:by Zoom only
STATUS:CONFIRMED
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