8 citations · 34 across the 9 of their papers we have counts for
9 papers
The versal deformation of small resolutions of conic bundles over with two sections blown down
Bernd Kreussler, Jan Stevens
Twistor spaces are certain compact complex threefolds with an additional real fibre bundle structure. We focus here on twistor spaces over . Such spaces ar…
Algebraic dimension of twistor spaces whose fundamental system is a pencil
Nobuhiro Honda, Bernd Kreussler
We show that the algebraic dimension of a twistor space over n#CP^2 cannot be two if n>4 and the fundamental system (i.e. the linear system associated to the half-anti-canonical bu…
Analytic moduli spaces of simple sheaves on families of integral curves
Igor Burban, Bernd Kreussler
We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Cas…
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
Igor Burban, Bernd Kreussler
In this paper we introduce the notion of a geometric associative r-matrix attached to a genus one fibration with a section and irreducible fibres. It allows us to study degeneratio…
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…