Stability and Fourier-Mukai transforms on an eliptic surface
Kota Yoshioka
TL;DR
This paper introduces a stability condition for coherent sheaves on elliptic surfaces and investigates their behavior under relative Fourier-Mukai transforms.
Contribution
It proposes a new stability condition for sheaves on elliptic surfaces and analyzes their transformation properties via Fourier-Mukai transforms.
Findings
Defined a stability condition for sheaves on elliptic surfaces.
Analyzed the behavior of sheaves under Fourier-Mukai transforms.
Abstract
We shall introduce a stability condition for a coherent sheaf associated to an elliptic surface. Then we study the behavior under relative Fourier-Mukai transforms.
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