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Now showing items 1-10 of 21

#### 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 ...

#### Torelli theorem for the Deligne-Hitchin moduli space (Pre-published 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 ...

#### 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 ...

#### Homological algebra with locally compact abelian groups (Pre-published Version)

(Elsevier, 2007)

In this article we study locally compact abelian (LCA) groups from the viewpoint of derived categories, using that their category is quasi-abelian in the sense of J.-P. Schneiders. We deﬁne a well-behaved derived Hom-complex ...

#### 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.

#### Rationality and Poincaré families for vector bundles with extra structure on a curve (Pre-published 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.
...

#### 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 ...

#### The Boden-Hu conjecture holds precisely up to rank eight (Pre-published version)

(Springer Verlag, 2004)