Oriented Borel-Moore homologies of toric varieties
Algebraic Geometry
2020-12-01 v2 K-Theory and Homology
Abstract
We generalize the K\"unneth formula for Chow groups to an arbitrary OBM-homology theory satisfying descent (e.g. algebraic cobordism) when taking a product with a toric variety. As a corollary we obtain a universal coefficient theorem for the operational cohomology rings. We also give a description for the homology groups of smooth toric varieties, that allows the calculation of algebraic cobordism groups of singular toric varieties. Some computations are carried out.
Keywords
Cite
@article{arxiv.1802.06155,
title = {Oriented Borel-Moore homologies of toric varieties},
author = {Toni Annala},
journal= {arXiv preprint arXiv:1802.06155},
year = {2020}
}
Comments
Accepted version. To appear in Annales de l'Institut Fourier