Drinfeld-Anderson Shtukas and Uniformization of $A$-Motives via Sato Grassmannians

Abstract: In this paper we continue to investigate the algebro-geometric structure of Drinfeld-Anderson motives introduced in [P1] and [P2]. In the first part we construct shtukas related to Drinfeld-Anderson motives. The main result of the second part is uniformization Theorem 3.4.2. \item{[P1]} Potemine, I. Yu.: Arithmétique des corps globaux de fonctions et géométrie des schémas modulaires de Drinfeld. Ph.D. Thesis, Joseph Fourier University, Grenoble (France), January 1997, 87 p. \item{[P2]} Potemine, I. Yu.: Drinfeld-Anderson motives and multicomponent KP hierarchy. In: Recent progress in algebra (Taejon/Seoul 1997), 213-227, Contemp. Math. 224, Amer. Math. Soc., Providence, RI, 1999.

Classification (MSC2000): 11G09; 14M15

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