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Commutative Algebra I
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A compilation of two sets of notes at the University of Kansas was published in the Spring of 2002 by?? and the other in the spring of 2007 by Branden Stone.Abstract:
1 A compilation of two sets of notes at the University of Kansas; one in the Spring of 2002 by ?? and the other in the Spring of 2007 by Branden Stone. These notes have been typedread more
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Journal ArticleDOI
Examples of smooth components of moduli spaces of stable sheaves
TL;DR: In this article, a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family is realized as a complete flat family of stable-sheaves on M parametrized by X.
Dissertation
Actions hyperboliques du groupe multiplicatif sur des variétés affines : espaces exotiques et structures locales
TL;DR: In this article, Altmann et Hausen introduce a G-variete d'etre G-uniformement rationnelle, which is an affine variete affines affines lisses and contractiles.
Dissertation
An algebraic p-adic L-function for ordinary families
TL;DR: In this paper, a control theorem for local Euler factors is obtained by studying the variation of monodromy under pure specializations of p-adic families of Galois representations restricted to decomposition groups at places of residue characteristic different from p. This is achieved mainly through making a modification of the Selmer complex to ensure that we deal with perfect complexes.
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Cominuscule points and Schubert varieties
William Graham,Victor Kreiman +1 more
TL;DR: In this article, the authors introduced the notion of a cominuscule point in a Schubert variety in a generalized flag variety for a semisimple group, and derived formulas expressing the Hilbert series and multiplicity of a SchUbert variety at such a point in terms of the restrictions of classes in torus-equivariant K-theory and cohomology.
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Equivariant $\mathcal{D}$-modules on rigid analytic spaces
TL;DR: In this paper, the authors define coadmissible equivariant modules on smooth rigid analytic spaces and relate them to admissible locally analytic representations of semisimple $p$-adic Lie groups.
References
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Book
Introduction to Commutative Algebra
TL;DR: It is shown here how the Noetherian Rings and Dedekind Domains can be transformed into rings and Modules of Fractions using the following structures: