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Now showing items 1-9 of 9

#### 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 ...

#### 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 ...

#### 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.
...

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

(Springer Verlag, 2004)

#### 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 ...

#### On semistable vector bundles over curves (Pre-published version)

(Elsevier, 2008)

Let X be a geometrically irreducible smooth projective curve de ned over a eld k, and let E be a vector bundle on X. Then E is semistable if and only if there is a vector bundle F on X such that Hi(X; F E) = 0 for i = 0; ...

#### Poincaré families and automorphisms of principal bundles on a curve (Pre-published version)

(Elsevier, 2009)

Let C be a smooth projective curve, and let G be a reductive algebraic group. We give a necessary condition, in terms of automorphism groups of principal G-bundles on C, for the existence of Poincaré families parameterized ...

#### Moduli schemes of generically simple Azumaya modules

(Documenta Mathematica, 2005)

Let A be an Azumaya algebra over a smooth projective variety X or more generally, a torsion free coherent sheaf of algebras
over X whose generic fiber is a central simple algebra. We show that generically simple torsion ...

#### Some moduli stacks of symplectic bundles on a curve are rational (Pre-published 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 ⊗ ...