摘要翻译：
我们证明了在弦论和代数几何中，用于描述Calabi-Yau超曲面镜像对称性的某些超几何级数满足一些有趣的性质。这些性质中的许多在单独的论文中被用来验证五次三重的Gene one Gromov-Witten不变量的BCOV预测，以及更一般地计算任何Calabi-Yau射影超曲面的Gene one Gromov-Witten不变量。
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英文标题：
《Some Properties of Hypergeometric Series Associated with Mirror Symmetry》
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作者：
Don Zagier and Aleksey Zinger
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Combinatorics        组合学
分类描述：Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
离散数学，图论，计数，组合优化，拉姆齐理论，组合对策论
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  We show that certain hypergeometric series used to formulate mirror symmetry for Calabi-Yau hypersurfaces, in string theory and algebraic geometry, satisfy a number of interesting properties. Many of these properties are used in separate papers to verify the BCOV prediction for the genus one Gromov-Witten invariants of a quintic threefold and more generally to compute the genus one Gromov-Witten invariants of any Calabi-Yau projective hypersurface.
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PDF链接：
https://arxiv.org/pdf/0710.0889