Affine connections on complex manifolds of algebraic dimension zero

Sorin Dumitrescu; Benjamin McKay

doi:10.17323/1609-4514-2016-16-4-675-689

Affine connections on complex manifolds of algebraic dimension zero

Sorin Dumitrescu
, Benjamin McKay

School of Mathematical Sciences

Université Côte d'Azur

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

Abstract

We prove that any compact complex manifold with finite fundamental group and algebraic dimension zero admits no holomorphic affine connection or holomorphic conformal structure.

Original language	English
Pages (from-to)	675-689
Number of pages	15
Journal	Moscow Mathematical Journal
Volume	16
Issue number	4
DOIs	https://doi.org/10.17323/1609-4514-2016-16-4-675-689
Publication status	Published - 1 Oct 2016

Keywords

Algebraic dimension
Holomorphic affine connections

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title = "Affine connections on complex manifolds of algebraic dimension zero",

abstract = "We prove that any compact complex manifold with finite fundamental group and algebraic dimension zero admits no holomorphic affine connection or holomorphic conformal structure.",

keywords = "Algebraic dimension, Holomorphic affine connections",

author = "Sorin Dumitrescu and Benjamin McKay",

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AU - McKay, Benjamin

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AB - We prove that any compact complex manifold with finite fundamental group and algebraic dimension zero admits no holomorphic affine connection or holomorphic conformal structure.

KW - Algebraic dimension

KW - Holomorphic affine connections

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JO - Moscow Mathematical Journal

JF - Moscow Mathematical Journal

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Affine connections on complex manifolds of algebraic dimension zero

Abstract

Keywords

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