Indices of holomorphic vector fields relative to invariant curves on surfaces
Indices of holomorphic vector fields relative to invariant curves on surfaces
复制标题
全纯矢量场相对于曲面上不变曲线的指数
DOI：
10.1090/s0002-9939-1995-1291793-0
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
T. Suwa
中科院分区：
文献类型：
--
作者：
T. Suwa
。定义了全纯向量场相对于复曲面上的（可能是奇异的）不变复解析曲线的局部指数，并表明，对于曲面上一维奇异叶状结构的紧致曲线不变量，指数之和等于其自交数。还给出了指数在完整方面的解释。
. The local index of a holomorphic vector field relative to a (possibly singular) invariant complex analytic curve on a complex surface is defined and it is shown that, for a compact curve invariant by a one-dimensional singular foliation on a surface, the sum of the indices is equal to its self-intersection number. An interpretation of the indices in terms of holonomy is also given.