摘要翻译:
本文研究了由迭代阿贝尔簇的自同态引起的不动点个数的增长。利用在一个Abel变体上得到的估计,我们可以将结果推广到Kodaira维数为零的变体及其周期子变体上的自同态。
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英文标题:
《Fixed points of smooth varieties with Kodaira dimension zero》
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作者:
Adam Ringler
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最新提交年份:
2007
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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:
In this paper, we study the growth of the number of fixed points from iterating an endomorphism of an abelian variety. Using the estimates obtained on an abelian variety, we are able to extend the results to endomorphisms on varieties of Kodaira dimension zero and more generally their periodic subvarieties.
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PDF链接:
https://arxiv.org/pdf/0708.3587