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Now showing items 1-5 of 5

#### 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 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.

#### 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 ...

#### 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. ...