(This is a hybrid seminar. In-person participation is restricted to members of Kyoto University)
We construct an elliptic surface, such that the fibration structure and the group of automorphisms can be determined.
A pencil of cubic curves passing through nine base points defines an elliptic surface by blowing up the base points.
Inspecting the pencil of cubic curves, singular fibers and a section of the elliptic fibration are detected.
We construct four birational maps preserving the cubic pencil.
They induce automorphisms of the elliptic surface.
The symmetries of the elliptic fibration and these automorphisms generate the group of automorphisms.