Ítem
Acceso Abierto
Fourier-Mukai Transforms and Stable Sheaves on Weierstrass Elliptic Surfaces
Título de la revista
Autores
Lo, Jason
Liu, Wanmin
Martínez, Cristian
Archivos
Fecha
2024-12-01
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Editor
Bulletin of the Brazilian Mathematical Society
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Resumen
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.
Abstract
Palabras clave
Weierstrass surface , Elliptic surface , Fourier-Mukai transform , Stability
