On the monodromy group of desingularised moduli spaces of sheaves on K3 surfaces

Onorati, Claudio

doi:10.1090/jag/802

Author: Claudio Onorati
Journal: J. Algebraic Geom. 31 (2022), 425-465
DOI: https://doi.org/10.1090/jag/802
Published electronically: March 16, 2022
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Abstract | References | Additional Information

Abstract: In this paper we prove a conjecture of Markman about the shape of the monodromy group of irreducible holomorphic symplectic manifolds of OG10 type. As a corollary, we also compute the locally trivial monodromy group of the underlying singular symplectic variety.

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Additional Information

Claudio Onorati
Affiliation: Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
Address at time of publication: Dipartimento di Matematica, Università degli studi di Roma Tor Vergata, via della Ricerca Scientifica 1, 00133 Roma, Italy
Email: onorati@mat.uniroma2.it

Received by editor(s): March 17, 2020
Received by editor(s) in revised form: December 19, 2021
Published electronically: March 16, 2022
Additional Notes: Part of this work was carried on during the author’s PhD program by the University of Bath. He was financially and administratively supported by the following: University of Bath and the EPSRC, the Riemann Centre in Hannover, the INdAM project for young researchers “Pursuit of IHS manifolds”, and the Research Council of Norway project no. 250104
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