An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics
An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics
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DOI：
10.4310/jdg/1430744122
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发表时间：
2012-06
期刊：
影响因子：
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通讯作者：
Huai-liang Chang;Jun Li
中科院分区：
文献类型：
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作者：
Huai-liang Chang;Jun Li
Li-Zinger超平面定理指出，五次三次群的亏格一GW-不变量是其约化亏格一GW-不变量与其亏格零GW-不变量的1/12倍之和。我们应用Guffin-Sharpe-Witten理论(GSW理论)给出了超平面定理的代数几何证明，包括贡献分离和1/12的计算。
Li-Zinger's hyperplane theorem states that the genus one GW-invariants of the quintic threefold is the sum of its reduced genus one GW-invariants and 1/12 multiplies of its genus zero GW-invariants. We apply the Guffin-Sharpe-Witten's theory (GSW theory) to give an algebro-geometric proof of the hyperplane theorem, including separation of contributions and computation of 1/12.