Seminar in Real & Complex Geometry

Tuesday, 20.03.2012, 15:00-16:30, Schreiber building, room 210




Eugenii Shustin, Tel Aviv University

Welschinger invariants from an algebraic geometry point of view (continuation)


Abstract
             

Welschinger invariants of real symplectic manifolds are equivalent to open Gromov-Witten invariants. In the case of real del Pezzo surfaces they count real rational curves in a given divisor class which pass through a generic conjugation-invariant configuration of points. We give an algebraic-geometric proof of the invariance both for the original and for modified Welschinger numbers, and also extend the theory to a non-del-Pezzo case.