Bogomolov, F;
Kurnosov, N;
Kuznetsova, A;
Yasinsky, E;
(2022)
Geometry and Automorphisms of Non-Kähler Holomorphic Symplectic Manifolds.
International Mathematics Research Notices
, 2022
(16)
pp. 12302-12341.
10.1093/imrn/rnab043.
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Abstract
We consider the only one known class of non-Kähler irreducible holomorphic symplectic manifolds, described in the works by D. Guan and the 1st author. Any such manifold Q of dimension 2n-2 is obtained as a finite degree n2 cover of some non-Kähler manifold WF, which we call the base of Q. We show that the algebraic reduction of Q and its base is the projective space of dimension n-1. Besides, we give a partial classification of submanifolds in Q, describe the degeneracy locus of its algebraic reduction and prove that the automorphism group of Q satisfies the Jordan property.
| Type: | Article |
|---|---|
| Title: | Geometry and Automorphisms of Non-Kähler Holomorphic Symplectic Manifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imrn/rnab043 |
| Publisher version: | https://doi.org/10.1093/imrn/rnab043 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10155260 |
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