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Now showing items 1-7 of 7

#### 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.

#### 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)

#### 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 ...

#### 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 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; ...

#### 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. ...