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arXiv · 1701.05841

A Schanuel Property for $j$

Sebastian Eterović
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Abstract

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 $j$ (Pila-Tsimerman 2015). 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.

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BibTeXRIS

Sebastian Eterović. 2017-01-20. A Schanuel Property for $j$. https://doi.org/10.1112/blms.12135

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