A Schanuel property for j

作者：Eterovic Sebastian^*

来源：Bulletin of the London Mathematical Society, 2018, 50(2): 293-315.

DOI：10.1112/blms.12135

I give a model-theoretic setting for the modular j function and its derivatives. These structures, here called j-fields, provide an adequate setting for interpreting the Ax-Schanuel theorem for j of J. Pila and J. Tsimerman. Following the ideas of M. Bays, J. Kirby and A. J. Wilkie for exponential fields, I prove a generic transcendence property for the j function.

• 出版日期2018-4