摘要翻译:
我们研究了K3-曲面的Cox环。第一个结果是K3-曲面有有限生成的Cox环当且仅当它的有效锥是多面体的。此外,我们还研究了Picard数为2的K3-曲面的Cox环的生成元次数及其关系,并显式地计算了Picard数为2~5或作为del Pezzo曲面的双复盖的具有非辛对合的一般K3-曲面的Cox环。
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英文标题:
《On Cox rings of K3-surfaces》
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作者:
Michela Artebani, Juergen Hausen, Antonio Laface
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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 Cox rings of K3-surfaces. A first result is that a K3-surface has a finitely generated Cox ring if and only if its effective cone is polyhedral. Moreover, we investigate degrees of generators and relations for Cox rings of K3-surfaces of Picard number two, and explicitly compute the Cox rings of generic K3-surfaces with a non-symplectic involution that have Picard number 2 to 5 or occur as double covers of del Pezzo surfaces.
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PDF链接:
https://arxiv.org/pdf/0901.0369