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摘要翻译：
研究了从实射影空间到复射影空间的代数（有理）映射空间的同伦类型。在以前的一篇论文中，我们已经证明了将第一个空间包含到第二个空间中是同伦等价的。本文证明了自然“度”过滤项的同伦类型与连续映射空间的同伦类型越来越接近，并得到了用度描述逼近的贴近性的界。此外，我们还计算了低维空间的同伦群。
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英文标题：
《Spaces of algebraic maps from real projective spaces into complex
projective spaces》
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作者：
Andrzej Kozlowski and Kohhei Yamaguchi
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最新提交年份：
2010
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Topology 代数拓扑
分类描述：Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论，同调代数，流形的代数处理
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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 the homotopy types of spaces of algebraic (rational) maps from real projective spaces into complex projective spaces. In a previous paper we have shown that the inclusion of the first space into the second one is a homotopy equivalence. In this paper we prove that the homotopy types of the terms of the natural "degree" filtration approximate closer and closer the homotopy type of the space of continuous maps and obtain bounds that describe the closeness of the approximation in terms of the degree. Moreover, we compute the homotopy groups of the spaces in low dimensions.
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PDF链接：
https://arxiv.org/pdf/0812.3954
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