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Algebra Seminar

K-classes of Brill-Noether loci and a determinantal formula 

Nicola Terasca, Rutgers University

Location:  Hill 525
Date & time: Wednesday, 20 September 2017 at 2:00PM - 3:00PM

I will present a formula for the Euler characteristic of the structure sheaf of Brill-Noether loci of linear series on curves with prescribed vanishing at two marked points. 
The formula recovers the classical Castelnuovo number in the zero-dimensional case, and previous work of Eisenbud-Harris, Pirola, Chan-López-Pflueger-Teixidor in the one-dimensional case. The result follows from a new determinantal formula for the K-theory class of certain degeneracy loci of maps of flag bundles. 

This is joint work with Dave Anderson and Linda Chen.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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