Chow Homology and Chern Classes
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CHOW HOMOLOGY AND CHERN CLASSES Contents
This is a chapter of the Stacks Project, version 7e38297, compiled on Feb 17, 2015.
متن کاملEquivariant Chow Ring and Chern Classes of Wonderful Symmetric Varieties of Minimal Rank
We describe the equivariant Chow ring of the wonderful compactification X of a symmetric space of minimal rank, via restriction to the associated toric variety Y . Also, we show that the restrictions to Y of the tangent bundle TX and its logarithmic analogue SX decompose into a direct sum of line bundles. This yields closed formulas for the equivariant Chern classes of TX and SX , and, in turn,...
متن کاملCelestial Integration, Stringy Invariants, and Chern-schwartz-macpherson Classes
We introduce a formal integral on the system of varieties mapping properly and birationally to a given one, with value in an associated Chow group. Applications include comparisons of Chern numbers of birational varieties, new birational invariants, ‘stringy’ Chern classes, and a ‘celestial’ zeta function specializing to the topological zeta function. In its simplest manifestation, the integral...
متن کاملModification Systems and Integration in Their Chow Groups
We introduce a notion of integration on the category of proper birational maps to a given variety X, with value in an associated Chow group. Applications include new birational invariants; comparison results for Chern classes and numbers of nonsingular birational varieties; ‘stringy’ Chern classes of singular varieties; and a zeta function specializing to the topological zeta function. In its s...
متن کاملProjective Duality and a Chern-mather Involution
We observe that linear relations among Chern-Mather classes of projective varieties are preserved by projective duality. We deduce the existence of an explicit involution on a part of the Chow group of projective space, encoding the effect of duality on Chern-Mather classes. Applications include Plücker formulae, constraints on self-dual varieties, generalizations to singular varieties of class...
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تاریخ انتشار 2015