REPRESENTATIONS OF POSITIVE-DEFINITE HERMITIAN-FORMS WITH APPROXIMATION AND PRIMITIVE PROPERTIES

[摘要] Let M be a positive definite hermitian lattice of rank m greater-than-or-equal-to 2n + 1 and T be a finite set of primes containing the prime divisors of 2 vol(M). If N is a hermitian lattice of rank n which is locally representable by M and min(N) is sufficiently large, then there exists a global representation f: N --> M such that f approximates the given local representations at T and f(N(p)) is primitive in M(p) for all primes p is-not-an-element-of T or {q} where q is any fixed prime not in T. (C) 1994 Academic Press, Inc.

[发布日期] 1994-05-01