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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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On degenerate sections of vector bundles
TL;DR: In this paper, the locus of sections of a vector bundle on a projective scheme that vanish in higher dimensions than expected is considered, and it is shown that after applying a high enough twist, any maximal component of this locus consists entirely of sections vanishing along a subscheme of minimal degree.
Journal Article
Complete Homogeneous Varieties via Representation Theory
TL;DR: In this paper, the volume of divisors of a twisted cubic is defined as a function of the dimension of the invariants in irreducible representations of a given algebraic variety.
Book ChapterDOI
Some closure operations in zariski-riemann spaces of valuation domains: a survey
TL;DR: In this article, the authors present several results concerning various topologies that were introduced in recent years on spaces of valuation domains and present a survey of these topologies and their applications.
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Decomposition of graded local cohomology tables
TL;DR: In this article, the extremal rays and the facets of the cone of local cohomology tables of finitely generated graded R-modules of dimension at most two were described.
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A valuation theoretic characterization of recursively saturated real closed fields
TL;DR: In this paper, the authors give a valuation theoretic characterization for a real closed field to be recursively saturated, extending the characterization of Harnik and Ressayre for a divisible ordered abelian group.
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: