摘要翻译:
本文给出了在有截面有理椭圆曲面的纤维积与某些Calabi-Yau流形之间构造有限有理态射的两种方法。我们用它们来构造最多允许五个奇异纤维的纤维产品与刚性卡拉比-尤三倍纤维之间的对应关系。
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英文标题:
《Correspondences between modular Calabi--Yau fiber products》
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作者:
Michal Kapustka
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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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英文摘要:
We describe two ways to construct finite rational morphisms between fiber products of rational elliptic surfaces with section and some Calabi--Yau manifolds. We use them to construct correspondences between such fiber products that admit at most five singular fibers and rigid Calabi--Yau threefolds.
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PDF链接:
https://arxiv.org/pdf/0802.3763