Moduli spaces of stably irreducible sheaves on Kodaira surfaces
Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known how they would fit into a possible classification of holomorphic symplectic manifolds by deformation type. This article...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-11-01
|
| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/coma-2023-0101 |
| _version_ | 1797435657070575616 |
|---|---|
| author | Boulter Eric |
| author_facet | Boulter Eric |
| author_sort | Boulter Eric |
| collection | DOAJ |
| description | Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known how they would fit into a possible classification of holomorphic symplectic manifolds by deformation type. This article studies a natural Lagrangian fibration on these moduli spaces to determine that they are not Kähler or simply connected, ruling out most of the known deformation types of holomorphic symplectic manifolds. |
| first_indexed | 2024-03-09T10:51:23Z |
| format | Article |
| id | doaj.art-62f6329e901a4594965a39b248b91071 |
| institution | Directory Open Access Journal |
| issn | 2300-7443 |
| language | English |
| last_indexed | 2024-03-09T10:51:23Z |
| publishDate | 2023-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Complex Manifolds |
| spelling | doaj.art-62f6329e901a4594965a39b248b910712023-12-01T07:18:17ZengDe GruyterComplex Manifolds2300-74432023-11-011011202121510.1515/coma-2023-0101Moduli spaces of stably irreducible sheaves on Kodaira surfacesBoulter Eric0Department of Pure Math, University of Waterloo, 200 University Avenue West, Waterloo, Ontorio N2L 3G1, CanadaModuli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known how they would fit into a possible classification of holomorphic symplectic manifolds by deformation type. This article studies a natural Lagrangian fibration on these moduli spaces to determine that they are not Kähler or simply connected, ruling out most of the known deformation types of holomorphic symplectic manifolds.https://doi.org/10.1515/coma-2023-0101moduli spaces of holomorphic vector bundlesholomorphic symplectic manifolds32g1332l0514j42 |
| spellingShingle | Boulter Eric Moduli spaces of stably irreducible sheaves on Kodaira surfaces Complex Manifolds moduli spaces of holomorphic vector bundles holomorphic symplectic manifolds 32g13 32l05 14j42 |
| title | Moduli spaces of stably irreducible sheaves on Kodaira surfaces |
| title_full | Moduli spaces of stably irreducible sheaves on Kodaira surfaces |
| title_fullStr | Moduli spaces of stably irreducible sheaves on Kodaira surfaces |
| title_full_unstemmed | Moduli spaces of stably irreducible sheaves on Kodaira surfaces |
| title_short | Moduli spaces of stably irreducible sheaves on Kodaira surfaces |
| title_sort | moduli spaces of stably irreducible sheaves on kodaira surfaces |
| topic | moduli spaces of holomorphic vector bundles holomorphic symplectic manifolds 32g13 32l05 14j42 |
| url | https://doi.org/10.1515/coma-2023-0101 |
| work_keys_str_mv | AT boultereric modulispacesofstablyirreduciblesheavesonkodairasurfaces |