ODT-BLKENT ALGEBRAIC GEOMETRY SEMINAR

 

An Introduction to Elliptic Fibrations - Part II:

Mordell-Weil Group and Torsion Sections

 

By

 

DAVIDE CESARE VENIANI

(Leibniz University of Hanover)

 

 

Abstract:  Given an elliptic surface, the set of sections of its fibration forms a group called the Mordell-Weil group. After recalling the main concepts from part I, I will expose the main properties of this group, with a special focus on torsion sections. I will give two constructions on quartic surfaces which appear naturally in the study of the enumerative geometry of lines, where torsion sections play a prominent role. The talk will be aimed at students who took a first course in algebraic geometry.

 

Date: Friday, March 13, 2015

Time: 15.40

Place: Mathematics Seminar Room, SA 141

 

 

 

Tea and cookies will be served before the seminar.