Jacobian ideal: syzygies and Hodge theory

Friday March 30, 12:05--12:55pm, Carslaw 175

Speaker:

Alexandru Dimca (University of Nice)

Title:

Jacobian ideal: syzygies and Hodge theory

Abstract

If $f$ is a homogeneous polynomial defining a smooth projective hypersurface $V$, then it is known that the partial derivatives of $f$ form a regular sequence, hence there are no nontrivial syzygies. When the hypersurface $V$ has isolated singularities, one can give lower bounds for the degrees of no nontrivial syzygies and relate them to some nonzero Betti numbers.

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After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au