摘要翻译:
伪加权射影空间X是一个Picard数为1的q-阶乘二重线簇。与加权射影空间一样,X具有一组权值(\lambda_0,...,\lambda_n)。我们看到P(\lambda_0,…,\lambda_n)的奇点如何影响X的奇点,以及权值如何将可能的假加权射影空间的数目限制在一个固定维数上。最后,如果我们希望X只有终端奇点(或正则奇点),我们给出了比值\lambda_j/\sum\lambda_i的一个上界。
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英文标题:
《Bounds on Fake Weighted Projective Space》
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作者:
Alexander Kasprzyk
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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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一级分类:Mathematics 数学
二级分类:Combinatorics 组合学
分类描述:Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
离散数学,图论,计数,组合优化,拉姆齐理论,组合对策论
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英文摘要:
A fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (\lambda_0,...,\lambda_n). We see how the singularities of P(\lambda_0,...,\lambda_n) influence the singularities of X, and how the weights bound the number of possible fake weighted projective spaces for a fixed dimension. Finally, we present an upper bound on the ratios \lambda_j/\sum\lambda_i if we wish X to have only terminal (or canonical) singularities.
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PDF链接:
https://arxiv.org/pdf/0805.1008