摘要翻译:
我们找到了一种分析平面节点曲线奇异性的几何方法。主要结果将用于即将发表的关于这类曲线的几何拔毛公式的论文中。平面节点曲线,即大多数节点为奇点的平面曲线,是一类重要的曲线,因为任何射影代数曲线都是平面节点曲线的双形。
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英文标题:
《Some Geometry of Nodal Curves》
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作者:
Tristram de Piro
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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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一级分类:Mathematics 数学
二级分类:Logic 逻辑
分类描述:Logic, set theory, point-set topology, formal mathematics
逻辑,集合论,点集拓扑,形式数学
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英文摘要:
We find a geometrical method of analysing the singularities of a plane nodal curve. The main results will be used in a forthcoming paper on geometric Plucker formulas for such curves. Plane nodal curves, that is plane curves having at most nodes as singularities, form an important class of curves, as any projective algebraic curve is birational to a plane nodal curve.
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PDF链接:
https://arxiv.org/pdf/0711.2435