On Moduli of G-bundles on a Curve for exceptional G
نویسنده
چکیده
– Let X be a complex, smooth, projective and connected curve, G be a simple and simply connected complex algebraic group and MG,X be the stack of G-bundles on X. I show, using the decomposition formulas of Tsuchiya-Ueno-Yamada [T-U-Y] and Faltings [F], the existence of certain line bundles on MG,X, conjectured in [L-S]. Then this result is applied to the question of local factoriality of the coarse moduli space of semi-stable G-bundles.
منابع مشابه
On Moduli of G-bundles over Curves for exceptional G
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تاریخ انتشار 1998