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Moscow Mathematical Journal, 2020, Volume 20, Number 2, Pages 405–422
DOI: https://doi.org/10.17323/1609-4514-2020-20-2-405-422 (Mi mmj770) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the topology of rational $\mathbb{T}$-varieties of complexity one

Antonio Lafacea, Alvaro Liendob, Joaquín Moragac

a Departamento de Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
b Instituto de Matemática y Física, Universidad de Talca, Casilla 721, Talca, Chile
c Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT 84112
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DOI: https://doi.org/10.17323/1609-4514-2020-20-2-405-422
Abstract: We generalize classical results about the topology of toric varieties to the case of projective $\mathbb{Q}$-factorial $\mathbb{T}$-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.
Key words and phrases: t-varieties, Hodge–Deligne polynomials, torus actions, Chow rings, topology of T-varieties.
Funding agency Grant number
Fondo Nacional de Desarrollo Científico y Tecnológico 1150732
1160864
Comisión Nacional de Investigación Científica y Tecnológica Anillo ACT 1415 PIA
The first named author was supported in part by Proyecto FONDECYT Regular N. 1150732 and project Anillo ACT 1415 PIA Conicyt. The second named author was supported in part by Proyecto FONDECYT regular N. 1160864.
Bibliographic databases:
Document Type: Article
MSC: 14C15, 14L30, 14M25
Language: English
Citation: Antonio Laface, Alvaro Liendo, Joaquín Moraga, “On the topology of rational $\mathbb{T}$-varieties of complexity one”, Mosc. Math. J., 20:2 (2020), 405–422
Citation in format AMSBIB
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\by Antonio~Laface, Alvaro~Liendo, Joaqu{\'\i}n~Moraga
\paper On the topology of rational $\mathbb{T}$-varieties of complexity one
\jour Mosc. Math.~J.
\yr 2020
\vol 20
\issue 2
\pages 405--422
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\crossref{https://doi.org/10.17323/1609-4514-2020-20-2-405-422}
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