Stability of Arakelov bundles and tensor products without global sections.
The line bundles on moduli stacks of principal bundles on a curve.
Moduli schemes of generically simple Azumaya modules.
The Picard group of a coarse moduli space of vector bundles in positive characteristic
Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let M r,Lss denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant L. We prove Pic(M r,Lss) = ℤ, identify the ample generator, and deduce that M r,Lss is locally factorial. In characteristic zero, this has already been proved by Drézet and Narasimhan. The main point of the present note is to circumvent the usual problems with Geometric Invariant...
A Torelli theorem for moduli spaces of principal bundles over a curve
Let and be compact Riemann surfaces of genus , and let and be nonabelian reductive complex groups. If one component of the coarse moduli space for semistable principal –bundles over is isomorphic to another component , then is isomorphic to .
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