A Combinatorial Proof of the Smoothness of Catalecticant Schemes Associated to Complete Intersections

Isaev, Alexander

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A Combinatorial Proof of the Smoothness of Catalecticant Schemes Associated to Complete Intersections

Date

2017

Authors

Isaev, Alexander

Publisher

Birkhauser Verlag

Abstract

For zero-dimensional complete intersections with homogeneous ideal generators of equal degrees over an algebraically closed field of characteristic zero, we give a combinatorial proof of the smoothness of the corresponding catalecticant schemes along an open subset of a particular irreducible component.