Normal Forms for completions of Abelian Varieties Defined over W(k).

摘要

Let C be an algebraic curve of genus g0) that approximate p-adically. The answer will seem to be affirmative and constructive. Moreover, it turns out that a finite number of these matrices are sufficient for this approximation. Lifting all data to the ring of Witt vectors W (k), we are able to describe a set of normal forms for these finitely many matrices ci. Moreover, we present in the context of Abelian varieties a set of normal forms for these finitely many matrices. In an appendix we give the listings of the main source programs that we have used.