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arXiv · 1404.5429

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

Erwan Brugalle
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Abstract

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.

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Erwan Brugalle. 2016-01-21. Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces. https://arxiv.org/abs/1404.5429

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