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Independent parameters for special instanton bundles on P^{2n+1} (Pre-published Version)
(Elsevier, 2011)
Motivated by Yang-Mills theory in 4n dimensions,
and generalizing the notion due to Atiyah, Drinfeld, Hitchin and Manin for n = 1, Okonek, Spindler and Trautmann introduced
instanton bundles and special instanton bundles ...
The moduli stack of vector bundles on a curve (Pre-published Version)
(Ramanujan Mathematical Society, 2010)
This expository text tries to explain brie
y and not too technically the
notions of stack and algebraic stack, emphasizing as an example the moduli
stack of vector bundles on an algebraic curve.
Einstein-Hermitian connection on twisted Higgs bundles (Pre-published Version)
(Elsevier Masson, 2010)
Let X be a smooth projective variety over C. We prove that a twisted Higgs vector bundle (E , θ) on X admits an Einstein–Hermitian connection if and only if (E , θ) is polystable. A similar result for twisted vector bundles ...
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 ...
The line on moduli stacks of principal bundles on a curve
(Documenta Mathematica, 2010)
Let G be an affine reductive algebraic group over an
algebraically closed field k. We determine the Picard group of the
moduli stacks of principal G–bundles on any smooth projective curve
over k.
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 ...
The Brauer group of moduli spaces of vector bundles over a real curve
(American Mathematical Society (AMS), 2011)
Let X be a geometrically connected smooth projective curve of
genus gX ≥ 2 over R. Let M(r, ξ) be the coarse moduli space of geometrically
stable vector bundles E over X of rank r and determinant ξ, where ξ is a real
point ...
On moduli stacks of G-bundles over a curve (Pre-published version)
(Springer, 2010)
Let C be a smooth projective curve over an algebraically closed eld k of arbitrary characteristic. Given a linear algebraic group G over k, let MG be the moduli stack of principal G-bundles on C. We determine the set of ...