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摘要翻译：
利用普通二重点在三维上的小分辨率性质，构造了光滑的不可提升的Calabi-Yau三重点。特别地，我们构造了一个在$F_3$上不提升到特征零的三重光滑射影Calabi-Yau和一个在$F_5$上具有阻塞变形的三重光滑射影Calabi-Yau。我们还构造了许多在$\f_p$上的光滑Calabi-Yau代数空间的例子，这些空间在特征零点上不提升为代数空间。
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英文标题：
《Small Resolutions and Non-Liftable Calabi-Yau threefolds》
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作者：
S. Cynk and D. van Straten
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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：Mathematics 数学
二级分类：Number Theory 数论
分类描述：Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数，丢番图方程，解析数论，代数数论，算术几何，伽罗瓦理论
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英文摘要：
We use properties of small resolutions of the ordinary double point in dimension three to construct smooth non-liftable Calabi-Yau threefolds. In particular, we construct a smooth projective Calabi-Yau threefold over $\F_3$ that does not lift to characteristic zero and a smooth projective Calabi-Yau threefold over $\F_5$ having an obstructed deformation. We also construct many examples of smooth Calabi-Yau algebraic spaces over $\F_p$ that do not lift to algebraic spaces in characteristic zero.
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PDF链接：
https://arxiv.org/pdf/0804.0668
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