Shuhang Yang : An introduction to Weierstrass fibration

Posted by Seckin Adali , part of the Graduate Algebraic Geometry Seminar.

At

April 15, 2015, 3 p.m.

In

SEO 712

Abstract

I will talk about the classification of singular fibres of elliptic fibration over an algebraic curve, then introduce the Weierstrass fibration. We will define the fundamental line bundle of a Weierstrass fibration. We will see that Weierstrass fibration can be regarded as a divisor of a rank 2 vector bundle over the base curve, and a double cover of a ruled surface with branch locus over which singular fibres appears. We will also calculate the invariants and Hodge numbers of Weiestrass fibration.