Browsing Mathematics and Computer Studies (Peerreviewed publications) by Author "Kreussler, Bernd"
Now showing items 111 of 11

Algebraic dimension of twistor spaces whose fundamental system is a pencil (prepublished version)
Kreussler, Bernd; Honda, Nobuhiro (London Mathematical Society, 2017)We show that the algebraic dimension of a twistor space over nℂℙ2 cannot be two if n>4 and the fundamental system (that is, the linear system associated to the half‐anti‐canonical bundle, which is available on any twistor ... 
Analytic moduli spaces of simple sheaves on families of integral curves (Preprint version)
Kreussler, Bernd (Wiley, 2013)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 Castelnuovo–Mumford regularity of such sheaves, ... 
The BelavinDrinfeld theorem on nondegenerate solutions of the classical YangBaxter equation
Kreussler, Bernd; Kierans, Lisa (IOP Publishing, 2010)We give a coordinate free proof of Belavin and Drinfeld's Theorem about the classi cation of nondegenerate solutions of the classical YangBaxter equation. The equivalence of different characterisations of nondegeneracy ... 
Derived categories of irreducible projective curves of arithmetic genus one
Burban, Igor; Kreussler, Bernd (Cambridge Journals, 2006)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 autoequivalences and the set of all tstructures ... 
Elliptic curves – an introduction
Kreussler, Bernd (Irish Mathematical Society, 2007) 
Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes
Campana, Frederic; Kreussler, Bernd (American Mathematical Society, 1999)We prove the existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes 4CP2. These are the rst examples of twistor spaces of algebraic dimension two over a ... 
Ireland's participation in the 50th international mathematical olympiad
Kreussler, Bernd (Irish Mathematical Society, 2009)The 50th International Mathematical Olympiad (IMO) took place in Bremen (Germany) from 12th July until 22nd July 2009. With 565 participants (59 of whom were girls) from 104 countries, this was the IMO with the largest ... 
Moishezon twistor spaces without effective divisors of degree one (prepublished version)
Kreussler, Bernd (Universität Kaiserslautern, 1995)We study simply connected compact twistor spaces Z of positive type. Assuming that the fundamental linear system j \Gamma 1 2 Kj is at least a pencil, we prove the following theorem: the existence of an irreducible curve ... 
On a relative FourierMukai transform on genus one fibrations
Burban, Igor; Kreussler, Bernd (Springer, 2006)We study relative FourierMukai transforms on genus one fibrations with section, allowing explicitly the total space of the fibration to be singular and nonprojective. Grothendieck duality is used to prove a ... 
Solving cubic equations in two variables
Kreussler, Bernd (Irish Mathematical Society, 2007)After recalling a geometric construction of all Pythagorean triples of integers, the same idea is applied to find rational solutions of cubic equations in two variables. This leads to the definition of the MordellWeil ... 
Twistor spaces with a pencil of fundamental divisors
Kreussler, Bernd (Documenta Mathematica, 1999)In this paper simply connected twistor spaces Z containing a pencil of fundamental divisors are studied. The Riemannian base for such spaces is diffeomorphic to the connected sum nCP2 . We obtain for n 5 a complete ...