Counting Curves in Elliptic Surfaces by Symplectic Methods
辛几何
2007-05-23 v1 代数几何
摘要
We explicitly compute family GW invariants of elliptic surfaces for primitive classes. That involves establishing a TRR formula and a symplectic sum formula for elliptic surfaces and then determining the GW invariants using an argument from \cite{ip3}. In particular, as in \cite{bl1}, these calculations also confirm the well-known Yau-Zaslow Conjecture \cite{yz} for primitive classes in surfaces.
引用
@article{arxiv.math/0307358,
title = {Counting Curves in Elliptic Surfaces by Symplectic Methods},
author = {Junho Lee},
journal= {arXiv preprint arXiv:math/0307358},
year = {2007}
}