Implementation of Stanley's algorithm for projective group imbeddings

DOI10.1016/j.jsc.2008.11.002zbMath1165.14040OpenAlexW2015213492MaRDI QIDQ1015163

Roy Joshua, Shaun Van Ault

Publication date: 7 May 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.11.002

zbMATH Keywords

toric varietiesgroup embeddingsStanley's algorithm

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of higher-dimensional varieties (14Q15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Uses Software

• GAP
• polymake
• LiE

Cites Work

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• Stable reductive varieties. I: Affine varieties
• Vanishing of odd-dimensional intersection cohomology
• Weights of exponential sums, intersection cohomology, and Newton polyhedra
• Intersection cohomology of reductive varieties
• Stable reductive varieties. II: Projective case
• Rational intersection cohomology of projective toric varieties.
• Vanishing of odd dimensional intersection cohomology. II

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