Session S07 - Differential operators in algebraic geometry and commutative algebra

Friday, July 16, 15:00 ~ 15:30 UTC-3

The discriminant locus of a vector bundle

Gregory G. Smith

Queen's University, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We analyze the locus of singular sections of a very ample vector bundle on a smooth complex variety. We characterize when this projective subscheme is a hypersurface. In the hypersurface case, we also compute its degree.

Joint work with Hirotachi Abo (University of Idaho, USA) and Robert Lazarsfeld (Stony Brook University, USA).

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