关于组织的凝固,全维>2的Bol理论
Sur l'algébrisation des tissus, le théorème de Bol en toute dimension >2
摘要:
本文证明了n-空间中一点附近的d-网等价于一个代数网,如果它有最大秩,或者更一般地说,如果它有(2d -3 n + 1)个阿贝尔关系,其中的1-喷流是线性无关的.当n=3时,这是Bol的一个定理。一般情况回答了陈省身和格里菲思的一个问题。
英文摘要:
We prove that a d-web near a point in n-space, where n is greater than 2 and d is greater than 2n-1, is equivalent to an algebraic web, if it has maximal rank or, more generally, if it has (2d - 3n + 1) abelian relations the 1-jets of which are linearly independent. In case n=3, this is a theorem of Bol. The general case answers a question of Chern and Griffiths.
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