molin-ws14
Contact
Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrypt@uol.de
Contact
Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrypt@uol.de
Coordinators
Prof. Dr. Florian Hess
florian.hess@uol.de
Phone: +49 (0) 441 798-2906
Prof. Dr. Andreas Stein
andreas.stein@uol.de
Phone: +49 (0) 441 798-3232
molin-ws14
Talk
Pascal Molin (Paris VII)
29.01.2015 - W01 0-012 (Wechloy), 16 Uhr c.t.
Computing the Abel-Jacobi map of complex hyperelliptic curves
I will give a brief presentation of the double-exponential method for numerical integration of complex functions, and present an algorithm to compute numerically the period matrix and the Abel-Jacobi map of (complex) hyperelliptic curves to arbitrary precision, based on this method. The complexity is quadratic in both the genus and the accuracy.