Standard monomial bases and geometric consequences for certain rings of invariants

DOI10.1007/BF02829736zbMath1096.14040arXivmath/0506088MaRDI QIDQ2493460

Yanyan Li

Publication date: 14 June 2006

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506088

zbMATH Keywords

invariantsdeterminantal varietiesstandard monomials

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Grassmannians, Schubert varieties, flag manifolds (14M15) Actions of groups on commutative rings; invariant theory (13A50) Classical groups (algebro-geometric aspects) (14L35) Rings with straightening laws, Hodge algebras (13F50)

Related Items (2)

Singularities of moduli spaces of vector bundles over curves in characteristic \(0\) and \(p\) ⋮ Frobenius splitting of certain rings of invariants

Cites Work

• Introduction to the theory of standard monomials
• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• The red book of varieties and schemes
• A characteristic free approach to invariant theory
• The variety of circular complexes and \(F\)-splitting
• Degenerations of flag and Schubert varieties to toric varieties
• Frobenius splittings and invariant theory
• LS algebras and application to Schubert varieties
• Toric degenerations of Schubert varieties
• Binomial ideals
• Moduli of vector bundles, Frobenius splitting, and invariant theory
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]
• Arithmetic Cohen-Macaulayness and Arithmetic Normality for Schubert Varieties
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