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Trace forms of symbol algebras (Pre-published 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.
The Picard group of a coarse moduli space of vector bundles in positive characteristic (Pre-published version)
(Versita, co-published with Springer Verlag., 2012)
Let C be a smooth projective curve over an algebraically closed
field of arbitrary characteristic. Let Mss
r,L denote the projective coarse moduli
scheme of semistable rank r vector bundles over C with fixed determinant ...
Poincaré families of G-bundles on a curve (Pre-published version)
(Springer Verlag, 2012)
Let G be a reductive group over an algebraically closed field k. Consider the moduli space of stable principal G-bundles on a smooth projective curve C over k. We give necessary and sufficient conditions for the existence of ...
New examples of stable bundles on Calabi-Yau threefolds (Pre-published Version)
(Oxford University Press, 2012)
In this paper we present a construction of stable bundles on Calabi-Yau threefolds
using the method of bundle extensions. This construction applies to any given Calabi-Yau
threefold with h1
,
1 > 1. We give examples ...
SU(5) heterotic standard model bundles (Pre-published version)
(Springer Verlag, 2012)
We construct a class of stable SU(5) bundles on an elliptically fibered Calabi-Yau threefold with two sections, a variant of the ordinary Weierstrass fibration, which admits a free involution. The bundles are invariant under ...