Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

28^th  of May 2024, 14:30-15:30, room “Dal Passo”

 

 

 

 

Irreducibility of Severi varieties on toric surfaces

 

 

Karl Christ

UT Austin

 

 

  Severi varieties parametrize integral curves of fixed
geometric genus in a given linear system on a surface. In this talk, I
will discuss the classical question of whether Severi varieties are
irreducible and its relation to the irreducibility of other moduli
spaces of curves. I will indicate how tropical methods can be used to
answer such irreducibility questions. The new results are from ongoing
joint work with Xiang He and Ilya Tyomkin.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry