Affine connections on complex manifolds with algebraic dimension zero

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Affine connections on complex manifolds with algebraic dimension zero

McKay, Benjamin; Dumitrescu, Sorin
Date: 2016
Copyright: © 2016, Moscow Center for Continuous Mathematical Education, Independent University of Moscow and Higher School of Economics, Moscow. Materials in this journal may be reproduced by any means for educational and scientific purposes without fee or permission (provided that the customary acknowledgment of the source is given). This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale.
Copyright information: http://www.mathjournals.org/mmj/
Related: http://www.mathjournals.org/mmj/2016-016-004/2016-016-004-006.html
Citation: Dumitrescu, S. and McKay, B. (2016) 'Affine connections on complex manifolds with algebraic dimension zero', Moscow Mathematical Journal, 16(4), pp.675-689.

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.

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