Claire Voisin's Chow Rings, Decomposition of the Diagonal, and the Topology PDF

By Claire Voisin

In this publication, Claire Voisin offers an advent to algebraic cycles on complicated algebraic types, to the foremost conjectures bearing on them to cohomology, or even extra accurately to Hodge buildings on cohomology. the quantity is meant for either scholars and researchers, and never in basic terms provides a survey of the geometric equipment built within the final thirty years to appreciate the well-known Bloch-Beilinson conjectures, but additionally examines contemporary paintings by means of Voisin. The publication specializes in valuable items: the diagonal of a variety—and the partial Bloch-Srinivas sort decompositions it could have counting on the dimensions of Chow groups—as good as its small diagonal, that is the appropriate item to contemplate to be able to comprehend the hoop constitution on Chow teams and cohomology. An exploration of a sampling of contemporary works through Voisin appears to be like on the relation, conjectured ordinarily by means of Bloch and Beilinson, among the coniveau of basic entire intersections and their Chow teams and a truly specific estate chuffed by way of the Chow ring of K3 surfaces and conjecturally by means of hyper-Kähler manifolds. specifically, the ebook delves into arguments originating in Nori's paintings which were additional built via others.

Show description

Read Online or Download Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) (Annals of Mathematics Studies) PDF

Similar group theory books

Download e-book for kindle: Rational Points on Curves over Finite Fields: Theory and by Harald Niederreiter,Chaoping Xing

Ever because the seminal paintings of Goppa on algebraic-geometry codes, rational issues on algebraic curves over finite fields were an incredible examine subject for algebraic geometers and coding theorists. the focal point during this software of algebraic geometry to coding conception is on algebraic curves over finite fields with many rational issues (relative to the genus).

Lie Theory and Its Applications in Physics: IX International by Vladimir Dobrev PDF

Regularly, Lie conception is a device to construct mathematical versions for actual structures. lately, the fad is in the direction of geometrisation of the mathematical description of actual structures and gadgets. a geometrical method of a approach yields often a few proposal of symmetry that's very worthy in realizing its constitution.

Read e-book online Representations of Finite Groups: Local Cohomology and PDF

The seminar specializes in a up to date resolution, by means of the authors, of an extended status challenge in regards to the strong module type (of now not inevitably finite dimensional representations) of a finite workforce. The facts attracts on principles from commutative algebra, cohomology of teams, and reliable homotopy conception. The unifying subject matter is a proposal of aid which supplies a geometrical strategy for learning quite a few algebraic constructions.

Download PDF by Juan Carlos Ferrando,Manuel Lopez-Pellicer: Descriptive Topology and Functional Analysis: In Honour of

Descriptive topology and sensible research, with large fabric demonstrating new connections among them, are the topic of the 1st component to this paintings. purposes to areas of constant features, topological Abelian teams, linear topological equivalence and to the separable quotient challenge are incorporated and are provided as open difficulties.

Extra resources for Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) (Annals of Mathematics Studies)

Sample text

Download PDF sample

Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) (Annals of Mathematics Studies) by Claire Voisin

by Steven

Rated 4.59 of 5 – based on 45 votes