# Conic decomposition of a toric variety and its application to cohomology

@inproceedings{Park2021ConicDO,
title={Conic decomposition of a toric variety and its application to cohomology},
author={Seonjeong Park and Jongbaek Song},
year={2021}
}
• Published 8 June 2021
• Mathematics
We introduce the notion of a conic sequence of a convex polytope. It is a way of building up a polytope starting from a vertex and attaching faces one by one with certain regulations. We apply this to a toric variety to obtain an iterated cofibration structure on it. This allows us to prove several vanishing results in the rational cohomology of a toric variety and to calculate Poincaré polynomials for a large class of singular toric varieties.
2 Citations

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