Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Exponential and logarithmic Ax on semiabelian schemes

Daniel Bertrand (Institut de Mathematiques de Jussieu)

Abstract:  I will report on joint work with A. Pillay, as well as with D. Masser and U. Zannier, giving a full description of these two extreme cases of Ax-Schanuel, for families of semiabelian surfaces. The functional transcendence is here controlled not only by the constant parts, but also by the constant images.