| Title: |
Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces |
| Authors: |
Onorati, Claudio; Perego, Arvid; Rapagnetta, Antonio |
| Contributors: |
Onorati, C; Perego, A; Rapagnetta, A |
| Publisher Information: |
American Mathematical Society |
| Publication Year: |
2024 |
| Collection: |
Universitá degli Studi di Roma "Tor Vergata": ART - Archivio Istituzionale della Ricerca |
| Subject Terms: |
Settore MAT/03; Settore MATH-02/B - Geometria |
| Description: |
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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/wos/WOS:001273769500001; volume:377; issue:10; firstpage:7259; lastpage:7308; numberofpages:50; journal:TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; https://hdl.handle.net/2108/451123 |
| DOI: |
10.1090/tran/9185 |
| Availability: |
https://hdl.handle.net/2108/451123; https://doi.org/10.1090/tran/9185 |
| Rights: |
info:eu-repo/semantics/openAccess ; license:Creative commons ; license uri:http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Accession Number: |
edsbas.B80FB2B8 |
| Database: |
BASE |