University of Connecticut

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Algebra Seminar
Seshadri constants for bundles
Mihai Fulger (University of Connecticut)

Wednesday, February 20, 2019
11:15am – 12:05pm

Storrs Campus
Monteith, 313

Classical Seshadri constants are local positivity measures for line bundles around points. We extend these to arbitrary rank. We find a local to global ampleness criterion, a geometric characterization of the loci where Seshadri constants vanish, and a Seshadri interpretation to asymptotic jet separation. We also look at applications of our theory to characterizations of projective space, to a conjecture on the ample cone of the self-product of a general curve, and to a relative version of the Fujita conjecture. This is all in joint work with Takumi Murayama.

Contact:

Mihai Fulger, mihai.fulger@uconn.edu

Algebra Seminar (primary), UConn Master Calendar

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