TY - GEN
AB - The central object of investigation of this paper is the Hirzebruch class, a
deformation of the Todd class, given by Hirzebruch (for smooth varieties) in
his celebrated book "Topological Methods in Algebraic Geometry". The
generalization for singular varieties is due to Brasselet-Sch\"urmann-Yokura.
Following the work of Weber, we investigate its equivariant version for
(possibly singular) toric varieties. The local decomposition of the Hirzebruch
class to the fixed points of the torus action and a formula for the local class
in terms of the defining fan are mentioned. After this review part, we prove
the positivity of local Hirzebruch classes for all toric varieties, thus
proving false the alleged counterexample given by Weber.
AU - Rychlewicz, Kamil P
ID - 6965
T2 - arXiv
TI - The positivity of local equivariant Hirzebruch class for toric varieties
ER -