Degree of the variety of pairs of nilpotent commuting matrices

DOI10.1007/s00574-014-0078-2zbMath1305.14024OpenAlexW1985184277MaRDI QIDQ487078

Adriana R. Silva, Israel Vainsencher

Publication date: 19 January 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-014-0078-2

zbMATH Keywords

desingularizationcommuting nilpotent matricesenumerative geometryequivariant intersection theorycotangent bundle of complete flag varietydegree of variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Uses Software

• SINGULAR
• Bertini

Cites Work

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• On the irreducibility of commuting varieties of nilpotent matrices
• On dominance and varieties of commuting matrices
• A scheme related to the Brauer loop model
• Pairs of Matrices With Property L. II
• Lie Group Representations on Polynomial Rings
• The variety of pairs of commuting nilpotent matrices is irreducible

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