Alexandru Dimca (University of Nice)
Jacobian ideal: syzygies and Hodge theory
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 [email protected]