On the topology of rational T-varieties of complexity one

Antonio Laface; Alvaro Liendo; Joaquín Moraga

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arXiv · 1503.06023

On the topology of rational T-varieties of complexity one

Antonio Laface·Alvaro Liendo·Joaquín Moraga

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Abstract

We generalize classical results about the topology of toric varieties to the case of projective Q-factorial T-varieties of complexity one using the language of divisorial fans. We describe the Hodge-Deligne polynomial in the smooth case, the cohomology ring and the Chow ring in the contraction-free case.

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Antonio Laface, Alvaro Liendo, Joaquín Moraga. 2015-03-20. On the topology of rational T-varieties of complexity one. https://arxiv.org/abs/1503.06023

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