On the topology of rational T-varieties of complexity one

Antonio Laface; Alvaro Liendo; Joaquín Moraga

doi:10.17323/1609-4514-2020-20-2-405-422

On the topology of rational T-varieties of complexity one

Antonio Laface, Alvaro Liendo, Joaquín Moraga

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	405-422
Number of pages	18
Journal	Moscow Mathematical Journal
Volume	20
Issue number	2
DOIs	https://doi.org/10.17323/1609-4514-2020-20-2-405-422
State	Published - Apr 1 2020

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Chow rings
Hodge-deligne polynomials
T-varieties
Topology of T-varieties
Torus actions

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10.17323/1609-4514-2020-20-2-405-422

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title = "On the topology of rational T-varieties of complexity one",

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 = "Chow rings, Hodge-deligne polynomials, T-varieties, Topology of T-varieties, Torus actions",

author = "Antonio Laface and Alvaro Liendo and Joaqu{\'i}n Moraga",

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T1 - On the topology of rational T-varieties of complexity one

AU - Laface, Antonio

AU - Liendo, Alvaro

AU - Moraga, Joaquín

PY - 2020/4/1

Y1 - 2020/4/1

N2 - 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.

AB - 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.

KW - Chow rings

KW - Hodge-deligne polynomials

KW - T-varieties

KW - Topology of T-varieties

KW - Torus actions

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EP - 422

JO - Moscow Mathematical Journal

JF - Moscow Mathematical Journal

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ER -

On the topology of rational T-varieties of complexity one

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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