by
Alexander
Degtyarev
Abstract:
We attempt to study/classify real Jacobian elliptic
surfaces of type I or, equivalently, separating real trigonal curves in
geometrically ruled surfaces. (On the way, we extend the notions of type I and
being separating to make them more suitable for elliptic surfaces.) We reduce
the problem to a simple graph theoretical question and, as a result, obtain a
characterization and complete classification (quasi-simplicity) in the case of
rational base. (The results are partially interlaced with those by V.
Zvonilov.) As a by-product, we obtain a criterion for a trigonal curve of type
I to be isotopic to a maximally inflected one.
Date: 17 April 2009 Friday
Time: 15:40
Place: Bilkent, Mathematics Seminar
Room SA-141
Tea and cookies will be served before the
talk.