摘要翻译:
在作者以前的工作中,给出了代数曲面水平曲线拓扑类型的算法计算结果。从这个结果出发,我们在这里导出了基于水平曲线的应用,以确定曲面的一些拓扑特征(真实感、紧致性、连通性)和绘图问题。
---
英文标题:
《Applications of Level Curves to Some Problems on Algebraic Surfaces》
---
作者:
J. G. Alcazar, J. R. Sendra
---
最新提交年份:
2007
---
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
--
---
英文摘要:
In a previous work of the authors, a result to algorithmically compute the topology types of the level curves of an algebraic surface, is given. From this result, here we derive applications based on level curves to determine some topological features of surfaces (reality, compactness, connectivity) and to the problem of plotting.
---
PDF链接:
https://arxiv.org/pdf/0710.3352