Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces

By Erwan Brugallé. 2014

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We enumerate, via floor diagrams, complex and real curves in the projective plane blown up in $n$ points on a conic. As an application, we deduce Gromov-Witten and Welschinger invariants of Del Pezzo surfaces. These results are mainly obtained using Li's degeneration formula and its real counterpart.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/76a7684d0fc4e42e16d3b8819c63fe8db1542172