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

Alexander Isaev

doi:10.1007/s00026-017-0357-x

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

Alexander Isaev^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	375-395
Number of pages	21
Journal	Annals of Combinatorics
Volume	21
Issue number	3
DOIs	https://doi.org/10.1007/s00026-017-0357-x
Publication status	Published - 1 Sept 2017

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title = "A Combinatorial Proof of the Smoothness of Catalecticant Schemes Associated to Complete Intersections",

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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N2 - 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.

AB - 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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DO - 10.1007/s00026-017-0357-x

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JO - Annals of Combinatorics

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

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