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Fourier-Mukai Transforms and Stable Sheaves on Weierstrass Elliptic Surfaces
| dc.creator | Lo, Jason | spa |
| dc.creator | Liu, Wanmin | spa |
| dc.creator | Martínez, Cristian | |
| dc.date.accessioned | 2025-01-26T18:29:40Z | |
| dc.date.available | 2025-01-26T18:29:40Z | |
| dc.date.created | 2024-12-01 | spa |
| dc.date.issued | 2024-12-01 | spa |
| dc.description | On a Weierstraß elliptic surface X, we define a “limit” of Bridgeland stability conditions, denoted as-stability, by moving the polarisation towards the fiber direction in the ample cone while keeping the volume of the polarisation fixed. We describe conditions under which a slope stable torsion-free sheaf is taken by a Fourier-Mukai transform to a -stable object, and describe a modification upon which a-semistable object is taken by the inverse Fourier-Mukai transform to a slope semistable torsion-free sheaf. We also study wall-crossing for Bridgeland stability, and show that 1-dimensional twisted Gieseker semistable sheaves are taken by a Fourier-Mukai transform to Bridgeland semistable objects. | spa |
| dc.format.mimetype | application/pdf | spa |
| dc.identifier.doi | https://doi.org/10.1007/s00574-024-00422-7 | spa |
| dc.identifier.uri | https://repository.urosario.edu.co/handle/10336/44806 | |
| dc.language.iso | eng | spa |
| dc.publisher | Bulletin of the Brazilian Mathematical Society | spa |
| dc.relation.ispartof | Bulletin of the Brazilian Mathematical Society | spa |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | spa |
| dc.rights.accesRights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.acceso | Abierto (Texto Completo) | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | spa |
| dc.source | Bulletin of the Brazilian Mathematical Society | spa |
| dc.source.instname | instname:Universidad del Rosario | spa |
| dc.source.reponame | reponame:Repositorio Institucional EdocUR | spa |
| dc.subject | Weierstrass surface | spa |
| dc.subject | Elliptic surface | spa |
| dc.subject | Fourier-Mukai transform | spa |
| dc.subject | Stability | spa |
| dc.title | Fourier-Mukai Transforms and Stable Sheaves on Weierstrass Elliptic Surfaces | spa |
| dc.type | article | spa |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | spa |
| dc.type.spa | Artículo | spa |
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