摘要翻译:
本文研究了光滑曲面S上1-连通曲线D的对偶集的除数固定部分的结构。证明了如果对偶集的除数固定部分F是非空的,则它的算术亏格<1,且F的每个分量都是光滑有理曲线。
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英文标题:
《The base components of the dualizing sheaf of a curve on a surface》
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作者:
Kazuhiro Konno and Margarida Mendes Lopes
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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:
This note studies the structure of the divisorial fixed part of the dualizing sheaf of a 1-connected curve D on a smooth surface S. It is shown that if the divisorial fixed part F of the dualizing sheaf is non empty then it has arithmetic genus<1 and each component of F is a smooth rational curve.
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PDF链接:
https://arxiv.org/pdf/0710.4395


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