In this paper we study monodromy operators on moduli spaces Mv(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 Mw(S,H) → Mv(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(10), 7259-7308 [10.1090/tran/9185].
Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces
Onorati, Claudio;Rapagnetta, Antonio
2024-01-01
Abstract
In this paper we study monodromy operators on moduli spaces Mv(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 Mw(S,H) → Mv(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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