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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
Citations
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C-Pure Projective Modules
TL;DR: In this paper, the authors investigated the structure of cyclically pure projective modules and showed that a ring R is left Noetherian if and only if every C-pure projective left R-module is RD-projective.
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On the Witt Vectors of Perfect Rings in Positive Characteristic
TL;DR: In this article, the authors proved that the ring of Witt vectors of perfect F p -algebras is integrally closed under a very mild condition, i.e., P = ∞.
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The log-canonical threshold of a plane curve
TL;DR: In this article, an explicit formula for the log-canonical threshold of a reduced germ of plane curve was given, which depends only on the first two maximal contact values of the branches and their intersection multiplicities.
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Deformations of lagrangian subvarieties of holomorphic symplectic manifolds
TL;DR: The authors generalize Voisin's theorem on deformations of pairs of a symplectic manifold and a Lagrangian submanifold to the case of Lagrangians normal crossing subvarieties.
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Note on the Grothendieck Group of Subspaces of Rational Functions and Shokurov's Cartier b-divisors
Kiumars Kaveh,Askold Khovanskii +1 more
TL;DR: In this paper, an isomorphism between the group of Cartier b-divisors on the birational class of X and the Grothendieck group of the semigroup of subspaces of rational functions on X is given.
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: