摘要翻译:
我们研究Kustin-Miller的Calabi-Yau三重未投影。作为应用,我们给出了定义为行列式簇的线性截面的Calabi-Yau三重形的几何性质。我们计算了它们的Hodge数,并描述了它们的k“{a}Hler-Mori锥面对应的态射。
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英文标题:
《A cascade of determinantal Calabi--Yau threefolds》
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作者:
Grzegorz Kapustka, Michal Kapustka
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最新提交年份:
2009
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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 study Kustin--Miller unprojections of Calabi--Yau threefolds. As an application we work out the geometric properties of Calabi--Yau threefolds defined as linear sections of determinantal varieties. We compute their Hodge numbers and describe the morphisms corresponding to the faces of their K\"{a}hler--Mori cone.
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PDF链接:
https://arxiv.org/pdf/0802.3669