Fourier-Mukai transform on abelian surfaces

2006/05/08 by Kōta Yoshioka, Yoshioka, Kota · 2 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #advanced mathematical theories #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0605190

Abstract

We show that the Fourier-Mukai transfortm on an abelian surface induces a birational map of the moduli space of stablke sheaves.

Cited by

• Mirror symmetry for lattice-polarized abelian surfaces
• Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle

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