Seminar in Real & Complex Geometry

Tuesday, 13.03.2012, 16:00-17:30, Schreiber building, room 210

Eugenii Shustin, Tel Aviv University

Welschinger invariants from an algebraic geometry point of view


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.