| Title: |
Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces |
| Authors: |
Claudio Onorati; Arvid Perego; Antonio Rapagnetta |
| Contributors: |
Onorati, Claudio; Perego, Arvid; Rapagnetta, Antonio |
| Publisher Information: |
USA |
| Publication Year: |
2024 |
| Collection: |
Università degli Studi di Genova: CINECA IRIS |
| Subject Terms: |
moduli spaces of sheaves; K3 surfaces; monodromy; irreducible symplectic varieties |
| 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 |
| File Description: |
ELETTRONICO |
| 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/11567/1203675 |
| DOI: |
10.1090/tran/9185 |
| Availability: |
https://hdl.handle.net/11567/1203675; https://doi.org/10.1090/tran/9185 |
| Accession Number: |
edsbas.90B3689E |
| Database: |
BASE |