In this paper we study monodromy operators on moduli spaces M-v (S, H) of sheaves on K3 surfaces with non-primitive Mukai vectors v. If we write v = mw , with m > 1 and w primitive, then our main result is that the inclusion M-w (S, H ) -> M-v (S, H ) as the most singular locus induces an isomorphism between the monodromy groups of these symplectic varieties, allowing us to extend to the non-primitive case a result of Markman.
Onorati, C., Perego, A., Rapagnetta, A. (2024). Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 377, 7259-7308 [10.1090/tran/9185].
Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces
Onorati, Claudio;Perego, Arvid;
2024
Abstract
In this paper we study monodromy operators on moduli spaces M-v (S, H) of sheaves on K3 surfaces with non-primitive Mukai vectors v. If we write v = mw , with m > 1 and w primitive, then our main result is that the inclusion M-w (S, H ) -> M-v (S, H ) as the most singular locus induces an isomorphism between the monodromy groups of these symplectic varieties, allowing us to extend to the non-primitive case a result of Markman.File in questo prodotto:
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