Algebraic equations on the adSlic closure of a Drinfeld module

作者：Ghioca Dragos^*; Scanlon Thomas

来源：Israel Journal of Mathematics, 2013, 194(1): 461-483.

DOI：10.1007/s11856-012-0072-6

Let k be a field of positive characteristic and K = k(V) a function field of a variety V over k and let A (K) be the ring of adSles of K with respect to the places on K corresponding to the divisors on V. Given a Drinfeld module over K and a positive integer g we regard both K (g) and A (K) (g) as -modules under the diagonal action induced by I broken vertical bar. For I" aS dagger K (g) a finitely generated -submodule and an affine subvariety defined over K, we study the intersection of X(A (K) ), the adSlic points of X, with , the closure of I" with respect to the adSlic topology, showing under various hypotheses that this intersection is no more than X(K) boolean AND Gamma.

• 出版日期2013-3