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
Posted Content
Cohomology for quantum groups via the geometry of the nullcone
TL;DR: In this article, the authors provided a uniform answer for the cohomology algebra of the small quantum group when the Coxeter number is smaller than the root system of the complex simple Lie algebra.
Posted Content
Resolution of Singularities of Arithmetical Threefolds II
Vincent Cossart,Olivier Piltant +1 more
TL;DR: In this paper, Grothendieck's conjecture on resolution of singulari-ties for quasi-excellent schemes X of dimension three and of arbitrary characteristic was proved for algebraic or arithmetical varieties of dimension 3.
Posted Content
Multiplicities Associated to Graded Families of Ideals
TL;DR: In this paper, it was shown that the epsilon multiplicity of Ulrich and Validashti is a limit for ideals in analytic local domains with perfect residue fields, and that it can be computed as the volume of a slice of an appropriate cone generated by a semigroup.
Journal ArticleDOI
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields
Bjorn Poonen,José Felipe Voloch +1 more
TL;DR: For a large class of subvarieties of abelian varieties over global function fields, the Brauer-Manin condition on adelic points cuts out exactly the rational points as discussed by the authors.
Journal ArticleDOI
Toroidal compactifications of PEL-type Kuga families
TL;DR: In this article, the compactication of Kuga families of abelian vari- eties over PEL-type Shimura varieties, including all those products of universal abelians schemes, can be constructed (up to good isogenies not af- fecting the relative cohomology) by a uniform method.
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: