3 papers
math.AG2026
Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle
Kota Yoshioka
For a Fourier-Mukai transform whose kernel is the Poincare line bundle, we study the preservation of Gieseker stability of sheaves on any abelian surface. As an application, we giv…
math.AG2026
A note on the moduli of stable sheaves on elliptic ruled surfaces
Kota Yoshioka
We study the non-emptyness of moduli of stable sheaves on an elliptic ruled surface with a nef. anticanonical bundle.
math.AG2026
Stability and Fourier-Mukai transforms on an eliptic surface
Kota Yoshioka
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.