Computational methods for orbit closures in a representation with finitely many orbits

Federico Galetto

doi:10.1080/10586458.2014.904256

Computational methods for orbit closures in a representation with finitely many orbits

Federico Galetto

Mathematics and Statistics

Queen’s University

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

1 Scopus citations

Abstract

The action of on has finitely many orbits. Kras̈kiewicz and Weyman give a conjectural description of the minimal free resolution of the coordinate ring for certain orbit closures in. We verify their conjecture by constructing their complexes explicitly in Macaulay2 and checking that they are exact. We also construct equations for all the orbit closures and verify that they generate radical ideals.

Original language	English
Pages (from-to)	310-321
Number of pages	12
Journal	Experimental Mathematics
Volume	23
Issue number	3
DOIs	https://doi.org/10.1080/10586458.2014.904256
State	Published - Jul 1 2014

Keywords

Macaulay2
equivariant maps,exactness criterion
geometric technique
orbit closures
trilinear alternating forms

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10.1080/10586458.2014.904256

Cite this

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KW - geometric technique

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KW - trilinear alternating forms

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Computational methods for orbit closures in a representation with finitely many orbits

Abstract

Keywords

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