7 citations
5 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…
Geometric View of Measurement Errors
Diarmuid O'Driscoll, Donald E. Ramirez
The slope of the best fit line from minimizing the sum of the squared oblique errors is the root of a polynomial of degree four. This geometric view of measurement errors is used t…
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…
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…