Homology using Chow varieties
نویسندگان
چکیده
منابع مشابه
Homology Using Chow Varieties
We introduce "Lawson homology groups" LrH2r+i(Xf2i) associated to an arbitrary projective algebraic variety X over an algebraically closed field k of characteristic p > 0 and a prime I ^ p. Our work is directly inspired by recent work of Blaine Lawson (cf. [5, 6]), consisting in part of an algebraization of Lawson's geometric ideas and analytic arguments. The Lawson homology group LQH^X, Z/) is...
متن کاملChow Groups, Chow Cohomology, and Linear Varieties
We compute the Chow groups and Fulton–MacPherson’s operational Chow cohomology ring for a class of singular rational varieties including toric varieties. The computation is closely related to the weight filtration on the ordinary cohomology of these varieties. We use the computation to answer one of the open problems about operational Chow cohomology: it does not have a natural map to ordinary ...
متن کاملDifferential Chow varieties exist
Chow varieties are a parameter space for cycles of a given variety of a given codimension and degree. We construct their analog for differential algebraic varieties with differential algebraic subvarieties, answering a question of [11]. The proof uses the construction of classical algebro-geometric Chow varieties, the theory of characteristic sets of differential varieties, the theory of prolon...
متن کاملEquations for secant varieties of Chow varieties
The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Finding equations in the ideal of secant varieties of Chow varieties would enable one to measure the complexity the permanent polynomial. In this article, I use the method of prolongation to obtain equations for secant varieties of Chow varieties as GL(V )-modules.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1989
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1989-15694-2