Open Access
Commutative Algebra I
Reads0
Chats0
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 typedread more
Citations
More filters
Journal ArticleDOI
Kudla's modularity conjecture and formal Fourier-Jacobi series
TL;DR: In this paper, the authors prove the modularity of series of Jacobi forms that satisfy a natural symmetry condition, which is the formal analog of Fourier-Jacobi expansions of Siegel modular forms.
Posted Content
The Fontaine-Mazur conjecture in the residually reducible case
TL;DR: In this article, a semi-simple local-global compatibility of the completed cohomology and a Taylor-Wiles patching argument for the completed homology was proposed to prove the Fontaine-Mazur conjecture in the regular case.
Journal ArticleDOI
Transfer Results for the FIP and FCP Properties of Ring Extensions
TL;DR: In this article, the transfer of FCP and FIP properties between E and F is studied for an extension E: R ⊂ S of (commutative) rings and the induced extension F: R(X)⊂ ǫ s of Nagata rings.
Book ChapterDOI
Deformations of Galois Representations
TL;DR: In this article, the authors give an introduction to deformations of Galois representations with an eye toward the application of this theory in the proof of the Serre conjecture by Khare-Wintenberger.
Journal ArticleDOI
Computing topological zeta functions of groups, algebras, and modules, I
TL;DR: In this article, a convex-geometric formula for a class of $p$-adic integrals under non-degeneracy conditions with respect to associated Newton polytopes is presented.
References
More filters
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: