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Moscow Mathematical Journal, 2016, Volume 16, Number 4, Pages 675–689
DOI: https://doi.org/10.17323/1609-4514-2016-16-4-675-689 (Mi mmj616) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Affine connections on complex manifolds of algebraic dimension zero

Sorin Dumitrescua, Benjamin McKayb

a Université Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06108 NICE Cedex 02, France
b University College Cork, Cork, Ireland
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DOI: https://doi.org/10.17323/1609-4514-2016-16-4-675-689
URL: https://www.mathjournals.org/mmj/2016-016-004/2016-016-004-006.html
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.
Key words and phrases: holomorphic affine connections, algebraic dimension.
Received: September 25, 2015; in revised form January 15, 2016
Bibliographic databases:
Document Type: Article
MSC: Primary 53B21; Secondary 53C56, 53A55
Language: English
Citation: Sorin Dumitrescu, Benjamin McKay, “Affine connections on complex manifolds of algebraic dimension zero”, Mosc. Math. J., 16:4 (2016), 675–689
Citation in format AMSBIB
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\paper Affine connections on complex manifolds of algebraic dimension zero
\jour Mosc. Math.~J.
\yr 2016
\vol 16
\issue 4
\pages 675--689
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