107 citations · 232 across the 36 of their papers we have counts for
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math.AG2004★ 1 cited
On a relative Fourier-Mukai transform on genus one fibrations
Igor Burban, Bernd Kreussler
We study relative Fourier-Mukai transforms on genus one fibrations with section, allowing explicitly the total space of the fibration to be singular and non-projective. Grothendiec…
math.AG2004★ 8 cited
Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstrass cubics
Igor Burban, Bernd Kreussler
We completely describe all semi-stable torsion free sheaves of degree zero on nodal cubic curves using the technique of Fourier-Mukai transforms. The Fourier-Mukai images of such s…