| Title: |
Moduli spaces of bundles over nonprojective K3 surfaces |
| Authors: |
Perego, Arvid; Toma, Matei |
| Contributors: |
Perego, Arvid; Toma, Matei |
| Publisher Information: |
Duke University Press; USA; Durham |
| Publication Year: |
2017 |
| Collection: |
Università degli Studi di Genova: CINECA IRIS |
| Subject Terms: |
Algebraic Geometry; Complex Geometry; Moduli spaces of sheaves; K3 surfaces |
| Description: |
We study moduli spaces of sheaves over nonprojective K3 surfaces. More precisely, let omega be a Kahler class on a K3 surface S, let rgeq 2 be an integer, and let v = (r,\xi, a) be a Mukai vector on S. We show that if the moduli space M of omega-stable vector bundles with associated Mukai vector v is compact, then M is an irreducible holomorphic symplectic manifold which is deformation equivalent to a Hilbert scheme of points on a K3 surface. Moreover, we show that there is a Hodge isometry between v^{perp} and H^2(M,mathbb{Z}) and that M is projective if and only if S is projective. |
| Document Type: |
article in journal/newspaper |
| File Description: |
ELETTRONICO |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/wos/WOS:000394475300006; volume:57 (1); firstpage:107; lastpage:146; numberofpages:40; journal:KYOTO JOURNAL OF MATHEMATICS; https://hdl.handle.net/11567/897031 |
| DOI: |
10.1215/21562261-3759540 |
| Availability: |
https://hdl.handle.net/11567/897031; https://doi.org/10.1215/21562261-3759540 |
| Rights: |
info:eu-repo/semantics/openAccess |
| Accession Number: |
edsbas.5845C855 |
| Database: |
BASE |