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

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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.

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  1. Mathematical Sciences Institute, Australian National University, Acton, ACT, 2601, Australia

    Alexander Isaev

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  1. Alexander Isaev
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Correspondence to Alexander Isaev.

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Isaev, A. A Combinatorial Proof of the Smoothness of Catalecticant Schemes Associated to Complete Intersections. Ann. Comb. 21, 375–395 (2017). https://doi.org/10.1007/s00026-017-0357-x

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  • DOI: https://doi.org/10.1007/s00026-017-0357-x

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