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SUMMARY:José González (University of California\, Riverside)
DTSTART:20220203T233000Z
DTEND:20220204T003000Z
DTSTAMP:20260422T054501Z
UID:SFUQNTAG/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/56/
 ">Generation of jets and Fujita’s jet ampleness conjecture on toric vari
 eties</a>\nby José González (University of California\, Riverside) as pa
 rt of SFU NT-AG seminar\n\n\nAbstract\nA line bundle is k-jet ample if it 
 has enough global sections to separate points\, tangent vectors\, and also
  their higher order analogues called k-jets. For example\, 0-jet ampleness
  is equivalent to global generation and 1-jet ampleness is equivalent to v
 ery ampleness. We give sharp bounds guaranteeing that a line bundle on a p
 rojective toric variety is k-jet ample in terms of its intersection number
 s with the invariant curves\, in terms of the lattice lengths of the edges
  of its polytope\, in terms of the higher concavity of its piecewise linea
 r function and in terms of its Seshadri constant. As an application\, we p
 rove the k-jet generalizations of Fujita’s conjectures on toric varietie
 s.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/56/
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