Browsing Department of Mathematics and Computer Studies by Title
Now showing items 3650 of 50

Rationality and Poincaré families for vector bundles with extra structure on a curve (Prepublished version)
(Oxford University Press, 2007)Iterated Grassmannian bundles over moduli stacks of vector bundles on a curve are shown to be birational to an affine space times a moduli stack of degree 0 vector bundles, following the method of King and Schofield. ... 
Response surface designs using the generalized variance inflation factors
(Cogent OA, 2015)We study response surface designs using the generalized variance inflation factors for subsets as an extension of the variance inflation factors. 
Revisiting some design criteria
(Athens Institute for Education and Research, 2015)We address the problem that the A (trace) design criterion is not scale invariant and often is in disagreement with the D (determinant) design criterion. We consider the canonical moment matrix CM and use the trace of its ... 
Solving cubic equations in two variables
(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 ... 
Some moduli stacks of symplectic bundles on a curve are rational (Prepublished version)
(Elsevier, 2008)Let C be a smooth projective curve of genus g ≥ 2 over a ﬁeld k. Given a line bundle L on C, let Sympl2n,L be the moduli stack of vector bundles E of rank 2n on C endowed with a nowhere degenerate symplectic form b : E ⊗ ... 
Stability of Arakelov bundles and tensor products without global sections
(Documenta Mathematica, 2003)This paper deals with Arakelov vector bundles over an arithmetic curve, i.e. over the set of places of a number field. The main result is that for each semistable bundle E, there is a bundle F such that E⊗F has at least ... 
The stability space of the derived category of holomorphic triples and further investigations
(20210414)In this thesis we give a complete description of the Bridgeland stability space for the bounded derived category of holomorphic triples over a smooth projective curve of genus one as a connected, four dimensional complex ... 
SU(5) heterotic standard model bundles (Prepublished version)
(Springer Verlag, 2012)We construct a class of stable SU(5) bundles on an elliptically ﬁbered CalabiYau threefold with two sections, a variant of the ordinary Weierstrass ﬁbration, which admits a free involution. The bundles are invariant under ... 
Symbol functions for symmetric frameworks (Prepublished)
(Elsevier, 20210515)We prove a variant of the wellknown result that intertwiners for the bilateral shift on ℓ2(Z) are unitarily equivalent to multiplication operators on L2(T). This enables us to unify and extend fundamental aspects of ... 
Symmetric frameworks in normed spaces
(Elsevier, 20201215)We develop a combinatorial rigidity theory for symmetric barjoint frameworks in a general finite dimensional normed space. In the case of rotational symmetry, matroidal Maxwelltype sparsity counts are identified for a ... 
Symmetric powers of trace forms on symbol algebras
(Université D'Artois, 2013) 
Torelli theorem for the DeligneHitchin moduli space (Prepublished version)
(Springer Verlag, 2009)Fix integers g ≥ 3 and r ≥ 2, with r ≥ 3 if g = 3. Given a compact connected Riemann surface X of genus g, let M DH (X) denote the corresponding SL(r,C) Deligne–Hitchin moduli space. We prove that the complex analytic ... 
Trace forms of symbol algebras (Prepublished version)
(World Scientific Publishing Complany, 2012)Let S be a symbol algebra. The trace form of S is computed and it is shown how this form can be used to determine whether S is a division algebra or not. In addition, the exterior powers of the trace form of S are computed. 
Twistor spaces with a pencil of fundamental divisors
(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 ... 
Which graphs are rigid in lpd?
(Springer, 20210313)We present three results which support the conjecture that a graph is minimally rigid in ddimensional ℓpspace, where p∈(1,∞) and p≠2, if and only if it is (d, d)tight. Firstly, we introduce a graph bracing operation ...