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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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Posted Content
Local-global principles for Galois cohomology
TL;DR: Local-global principles for Galois cohomology groups over function fields were shown in this paper for torsors and related algebraic structures over a complete discretely valued field.
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Generators and Dimensions of Derived Categories of Modules
Takuma Aihara,Ryo Takahashi +1 more
TL;DR: In this paper, the dimension of the bounded derived category of finitely generated modules over a commutative Noetherian ring has been studied, and it is shown that it is finite over a complete local ring containing a field with perfect residue field.
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Derived splinters in positive characteristic
TL;DR: In this article, the notion of derived splinters is introduced, i.e., a scheme is a derived splinter if it splits off from the coherent cohomology of any proper cover.
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Towards Transversality of Singular Varieties: Splayed Divisors
TL;DR: In this paper, the authors studied a generalization of transversally intersecting smooth hypersurfaces in a complex manifold, called splayed divisors, whose compo- nents intersect in a transversal way but may be themselves singular.
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: