8 citations · 13 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Derived Categories of Nodal Algebras
Igor Burban, Yuriy Drozd
In this article we classify indecomposable objects of the derived categories of finitely-generated modules over certain infinite-dimensional algebras. The considered class of algeb…
Geometrical properties of sections of Buchsbaum-Rim sheaves
Igor Burban, Hans-Georg Freiermuth
In this survey article we want to discuss a way of constructing arithmetically Gorenstein varieties of high codimension. Consider kernel sheaves B_G of general, generically surject…