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Now showing items 11-20 of 21

#### 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 ...

#### 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 ...

#### Generalized vector bundles on curves (Pre-published version)

(de Gruyter, 1998)

In their paper [14] G. Harder and M.S. Narasimhan (and independently D. Quillen) have constructed a canonical flag of subbundles on any vector bundle on a complete smooth algebraic curve over a field. This flag measures ...

#### 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 ...

#### 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 stacks of vector bundles on curves and the King–Schofield rationality proof (Pre-published version)

(Springer, 2010)

Let C be a connected smooth projective curve of genus g ≥ 2 over an algebraically closed field k. Consider the coarse moduli scheme Bunr,d (resp. Bunr,L) of stable vector bundles on C with rank r and degree d ∈ Z (resp. ...

#### 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 ...