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arXiv · 1802.06155

Oriented Borel-Moore homologies of toric varieties

Toni Annala
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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.

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Toni Annala. 2018-02-16. Oriented Borel-Moore homologies of toric varieties. https://arxiv.org/abs/1802.06155

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