On the topology of rational T-varieties of complexity one
Algebraic Geometry
2017-12-07 v3
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.
Keywords
Cite
@article{arxiv.1503.06023,
title = {On the topology of rational T-varieties of complexity one},
author = {Antonio Laface and Alvaro Liendo and Joaquín Moraga},
journal= {arXiv preprint arXiv:1503.06023},
year = {2017}
}
Comments
Major update. In particular, Section 4 was removed and will be uploaded in a new paper entitled "Fundamental group of log terminal T-varieties"