8 citations · 13 across the 3 of their papers we have counts for
3 papers
math.AG2005★ 4 cited
Derived categories of irreducible projective curves of arithmetic genus one
Igor Burban, Bernd Kreussler
We investigate the bounded derived category of coherent sheaves on irreducible singular projective curves of arithmetic genus one. A description of the group of exact auto-equivale…
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…