摘要翻译:
我们发现,对于至多5的g,曲线M_g的模空间的深度为g-2的层,其层是仿射的,其闭包类为M_g的周环提供了一个Q-基。第一个性质证实了我们中的一个猜想。我们建立第二个性质的方法给出了Faber和Izadi定理的新的(和更简单的)证明,这些证明加在一起等于这样一个陈述:在这个范围内Chow环是由λ类生成的。
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英文标题:
《A perfect stratification of M_g for g at most 5》
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作者:
Claudio Fontanari, Eduard Looijenga
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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 find for g at most 5 a stratification of depth g-2 of the moduli space of curves M_g with the property that its strata are affine and the classes of their closures provide a Q-basis for the Chow ring of M_g. The first property confirms a conjecture of one of us. The way we establish the second property yields new (and simpler) proofs of theorems of Faber and Izadi which, taken together, amount to the statement that in this range the Chow ring is generated by the lambda-class.
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PDF链接:
https://arxiv.org/pdf/0708.3424