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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
On equivariant Serre problem for principal bundles
TL;DR: In this paper, a Γ-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Γ, where G and Γ are complex linear algebraic groups.
DissertationDOI
A framework for unobstructedness of Galois deformation rings
TL;DR: In this article, Mazur stellte die Frage unter welchen Bedingungen der Funktor, der die Deformationen von ρ zu voll-======standigen Noetherschen W(k)-Algebren beschreibt, unobstruiert ist, d.h.
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Noncommutative enhancements of contractions
Will Donovan,Michael Wemyss +1 more
TL;DR: In this paper, the authors considered the case of crepant partial resolutions admitting a tilting bundle with trivial summand, and all contractions with fiber dimension at most one, and showed that these conditions hold automatically when the non-isomorphism locus in Y has codimension 3 or more.
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On Saito's normal crossing condition
TL;DR: In this article, Saito defined a residue map from the logarithmic differential 1-forms along a reduced complex analytic hypersurface to the meromorphic functions on the hypers surface.
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Characterizations of freeness for equidimensional subspaces
TL;DR: In this paper, the minimal free resolution of the modules of multi-logarithmic k-forms along a reduced equidimensional subspace is investigated, where k is the codimension.
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: