Research report 2012 - Max Planck Institute for Mathematics
Counting algebraic curves - old, new and refined
Authors
Göttsche, Lothar
Departments
Max-Planck-Institut für Mathematik, Bonn
Summary
The counting of algebraic curves on surfaces is a classical topic of algebraic geometry, which has gained new interest because of the advent of string theory from physics. After a short introduction into enumerative invariants of curves a refinement is considered. Instead of a number of curves one gets a polynomial, which can be related to invariants of real and tropical algebraic geometry.