Chow groups and pseudoffective cones of complexity-one T-varieties

被引：1

作者：

Nodland, Bernt Ivar Utstol ^{[1
]}

机构：

[1] Univ Oslo, Oslo, Norway

来源：

MANUSCRIPTA MATHEMATICA | 2022年 / 169卷 / 1-2期

关键词：

14C25; 14L30; 14M25;

D O I：

10.1007/s00229-021-01326-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the pseudoeffective cone of k-cycles on a complete complexity-one T-variety is rational polyhedral for any k, generated by classes of T-invariant subvarieties. When X is also rational, we give a presentation of the Chow groups of X in terms of generators and relations, coming from the combinatorial data defining X as a T-variety.

引用

页码：141 / 165

页数：25

共 16 条

[1] Chow groups and pseudoffective cones of complexity-one T-varieties
Bernt Ivar Utstøl Nødland
manuscripta mathematica, 2022, 169 : 141 - 165
[2] On Degenerations of Projective Varieties to Complexity-One T-Varieties
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[3] Cox rings of rational complexity-one T-varieties
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[4] Families of invariant divisors on rational complexity-one T-varieties
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[5] Rational Complexity-One T-Varieties Are Well-Poised
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MOSCOW MATHEMATICAL JOURNAL, 2020, 20 (02) : 405 - 422
[9] Fujita's Freeness Conjecture for T-Varieties of Complexity One
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MICHIGAN MATHEMATICAL JOURNAL, 2020, 69 (02) : 323 - 340
[10] Non-complete rational T-varieties of complexity one
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