论文标题

在积极特征上平滑代数表面上的叶子

Foliations on smooth algebraic surfaces over positive characteristic

论文作者

Mendson, Wodson

论文摘要

我们调查了$ p $ divisor的概念,用于在积极特征$ p $的领域定义的平滑代数表面上的叶子,我们研究了它们的某些属性。我们提出了一个$ p $ divisor的结构定理,在投影平面和内姆布鲁克表面中,我们表明,在某些条件下,这种$ p $ - 派的人会减少。

We investigate the notion of the $p$-divisor for foliations on a smooth algebraic surface defined over a field of positive characteristic $p$ and we study some of their properties. We present a structure theorem for the $p$-divisor of foliations in the projective plane and the Hirzebruch surfaces where we show that, under certain conditions, such $p$-divisors are reduced.

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