On Locally Conformally Kahler Threefolds with Algebraic Dimension Two

被引：2

作者：

Angella, Daniele ^{[1
]}

Parton, Maurizio ^{[2
]}

Vuletescu, Victor ^{[3
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

[2] Univ G dAnnunzio, Dipartimento Econ, Viale Pineta 4, I-65129 Pescara, Italy

[3] Univ Bucharest, Fac Math & Informat, Acad St 14, Bucharest 010014, Romania

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 05期

关键词：

MINIMAL MODELS; COMPLEX;

D O I：

10.1093/imrn/rnab362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is part of an attempt of understanding non-Kahler threefolds. We start by looking at compact complex non-Kahler threefolds with algebraic dimension two and admitting lcK metrics. Under certain assumptions, we prove that they are blown-up quasi-bundles over a projective surface.

引用

页码：3948 / 3969

页数：22

共 28 条

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Graf, Patrick
MATHEMATISCHE ANNALEN, 2018, 371 (1-2) : 487 - 516
[2] A report on locally conformally Kahler manifolds
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Vuletescu, Victor
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JOURNAL OF SYMPLECTIC GEOMETRY, 2018, 16 (05) : 1377 - 1408
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JOURNAL OF GEOMETRY AND PHYSICS, 2019, 135 : 235 - 252

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