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摘要翻译：
我们得到了一类非单连通的Calabi-Yau三元的详细分类，这类三元对弦现象学中的许多问题都有潜在的兴趣。这三重式是Schoen's Calabi-Yau三重式的商，它们是两个有理椭圆曲面P1上的纤维积。商是由一个自由作用的有限阿贝尔群保持纤维。我们的工作涉及有理椭圆曲面的受限有限自同构群的分类。
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英文标题：
《On a class of non-simply connected Calabi-Yau threefolds》
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作者：
Vincent Bouchard and Ron Donagi
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最新提交年份：
2008
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分类信息：
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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一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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英文摘要：
We obtain a detailed classification for a class of non-simply connected Calabi-Yau threefolds which are of potential interest for a wide range of problems in string phenomenology. These threefolds arise as quotients of Schoen's Calabi-Yau threefolds, which are fiber products over P1 of two rational elliptic surfaces. The quotient is by a freely acting finite abelian group preserving the fibrations. Our work involves a classification of restricted finite automorphism groups of rational elliptic surfaces.
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PDF链接：
https://arxiv.org/pdf/0704.3096
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