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Now showing items 1-10 of 11

#### 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 ...