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
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.
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