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Now showing items 1-6 of 6

#### Analytic moduli spaces of simple sheaves on families of integral curves (Pre-print version)

(Wiley, 2013)

We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Castelnuovo–Mumford regularity of such sheaves, ...

#### 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; ...

#### 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. ...

#### Elliptic curves – an introduction

(Irish Mathematical Society, 2007)