Seminar series
Date
Thu, 13 Jun 2019
Time
16:00 -
17:00
Location
L6
Speaker
Gerd Faltings
Organisation
University of Bonn and MPIM
We compute the asymptotics of Arakelov functions if smooth curves degenerate to semistable singular curves. The motivation was to determine whether the delta function defines a metric on the boundary of moduli space. In fact things are slightly more complicated. The main result states that the asymptotics is mostly governed by the graph associated to the degeneration, with some subleties. The topic has been also treated by R. deJong and my student R. Wilms.