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A remark on the Picard group of spin moduli space

Maurizio Cornalba (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.

A Torelli theorem for moduli spaces of principal bundles over a curve

Indranil Biswas, Norbert Hoffmann (2012)

Annales de l’institut Fourier

Let X and X be compact Riemann surfaces of genus 3 , and let G and G be nonabelian reductive complex groups. If one component G d ( X ) of the coarse moduli space for semistable principal G –bundles over X is isomorphic to another component G d ( X ) , then X is isomorphic to X .

Algebraic loop groups and moduli spaces of bundles

Gerd Faltings (2003)

Journal of the European Mathematical Society

We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.

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