2013-05-302013-05-302012Hoffmann, N. (2012), 'The Picard Group of a Coarse Moduli Space of Vector Bundles in Positive Characteristic', Central European Journal of Mathematics, Vol. 10(4), pp 1306-1313http://dx.doi.org/10.2478/s11533-012-0064-0http://hdl.handle.net/10395/1917Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let Mss r,L denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant L. We prove Pic(Mss r,L) = Z, identify the ample generator, and deduce that Mss r,L is locally factorial. In characteristic zero, this has already been proved by Dr´ezet and Narasimhan. The main point of the present note is to circumvent the usual problems with Geometric Invariant Theory in positive caracteristic.engThe final publication is available at link.springer.com through the following link:http://dx.doi.org/10.2478/s11533-012-0064-0Picard groupCoarse moduliVector bundleArticle