摘要翻译:
设L是一个代数集,且g:r^(n+1)\乘以L-->r^(2n)(n是偶数)是一个多项式映射,使得对于L中的每一个L,有r(L)>0,使得限制在球面S^n(r)上的映射g_l=g(.,L)对于每一个0<r<(L)是一个浸没,从而定义了交数I(G_ls^n(r))。然后,将l中的l映射到I(G_ls^n(r))的函数是代数可构造的。
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英文标题:
《Immersions of spheres and algebraically constructible functions》
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作者:
Iwona Karolkiewicz, Aleksandra Nowel, Zbigniew Szafraniec
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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:
Let L be an algebraic set and let g : R^(n+1) \times L --> R^(2n) (n is even) be a polynomial mapping such that for each l in L there is r(l)>0 such that the mapping g_l = g(.,l) restricted to the sphere S^n(r) is an immersion for every 0<r<(l), so that the intersection number I(g_l|S^n(r)) is defined. Then the function which maps l in L to I(g_l|S^n(r)) is algebraically constructible.
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PDF链接:
https://arxiv.org/pdf/0704.3523