Reductive embeddings are Cohen-Macaulay

DOI10.1090/S0002-9939-02-06843-0zbMath1071.14518MaRDI QIDQ4780404

Alvaro Rittatore

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulay varietiesspherical varietiesreductive monoids

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Group actions on varieties or schemes (quotients) (14L30) Semigroups (20M99)

Related Items (8)

Split subvarieties of group embeddings ⋮ On compactifications of the Steinberg zero-fiber ⋮ On the resolution of reductive monoids and multiplicativity of \(\gamma \)-factors ⋮ Chern classes of reductive groups and an adjunction formula ⋮ On embeddings of certain spherical homogeneous spaces in prime characteristic ⋮ A bideterminant basis for a reductive monoid ⋮ Embeddings of spherical homogeneous spaces in characteristic \(p\) ⋮ On the geometry of spherical varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A vanishing theorem for group compactifications
• Frobenius splitting and cohomology vanishing for Schubert varieties
• Equations defining Schubert varieties and Frobenius splitting of diagonals
• Algebraic monoids and group embeddings
• Lectures on Frobenius splittings and \(B\)-modules
• Splitting properties of complete homogeneous spaces
• Introduction to Toric Varieties. (AM-131)
• Cohen-Macaulay Algebraic Monoids
• Representation Theory of Reductive Normal Algebraic Monoids
• Large Schubert varieties

This page was built for publication: Reductive embeddings are Cohen-Macaulay