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Commutative Algebra I

Craig Huneke
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TLDR
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 typed

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Citations
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Journal ArticleDOI

Varieties of Signature Tensors

TL;DR: In this paper, the signature tensors of a parametric curve are examined through the lens of algebraic geometry, where the signature is a sequence of tensors whose entries are iterated integrals.
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Zero estimates with moving targets

TL;DR: This work gives some examples showing that the sharpest conceivable results can be false, and in some cases the natural guess has even to be doubled.
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Local deformation rings and a Breuil-M\'{e}zard conjecture when l\neq p

Jack Shotton
- 06 Sep 2013 - 
TL;DR: In this article, the deformation rings of two dimensional mod l representations of Gal(Fbar/F) with fixed inertial type were computed for l an odd prime, p a prime distinct from p and F/Q_p a finite extension.
Posted Content

A comparison formula for residue currents

TL;DR: In this paper, a comparison formula relating the Andersson-Wulcan currents of holomorphic functions is given for residue currents associated to two generically exact Hermitian complexes together with a morphism between the complexes.
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Weierstrass preparation and algebraic invariants

TL;DR: In this article, a form of the Weierstrass Preparation Theorem for normal algebraic curves over complete discrete valuation rings is presented. But this result is restricted to the projective line over a base.
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: