论文标题
Del Pezzo表面的枚举几何形状
Enumerative Geometry of Del Pezzo Surfaces
论文作者
论文摘要
我们证明了通过Tropical几何形状定义的超电势与Lagrangian Floer理论定义的特殊拉格朗日圆环纤维在Collins-Jacob-lin构建的Del Pezzo表面上的等效性。我们还为投射平面提供了一些明确的计算,这些计算在这种情况下证实了一些民间传说的猜想。
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.