On rigid tuples in linear groups of odd dimension

[摘要] We construct examples of linearly rigid tuples which lead to regular Galois realizations over Q for linear and unitary groups GL(2m+1)(q) and U2m+1(q(2)), where q is odd and m > phi(q - 1) resp. m > phi(q + 1). The notion of linear rigidity was introduced by Strambach and Volklein (J. Reine Angew. Math., to appear) as an analogue of Katz' physically rigid systems (see N. M. Katz, Rigid Local Systems, Annals of Mathematics Studies, Vol. 139, Princeton Univ. Press, Princeton, NJ, 1996). (C) 2000 Academic Press.

[发布日期] 1999-12-15