Enumerative Geometry of Del Pezzo Surfaces
Symplectic Geometry
2024-04-03 v3 Algebraic Geometry
Abstract
We prove an equivalence between the superpotential defined via tropical geometry and Lagrangian Floer theory for special Lagrangian torus fibres in del Pezzo surfaces constructed by Collins-Jacob-Lin. We also include some explicit calculations for the projective plane, which confirm some folklore conjecture in this case.
Cite
@article{arxiv.2005.08681,
title = {Enumerative Geometry of Del Pezzo Surfaces},
author = {Yu-Shen Lin},
journal= {arXiv preprint arXiv:2005.08681},
year = {2024}
}
Comments
42 pages, 1 figrure. Comments are welcome. Accepted version