Mathematical Sciences: RUI: Effective Methods in Analytic Geometry

9404497该项目将采用各种方法来获得关于复数解析集相对于实代数几何的奇点的定性几何信息，特别是将进行极限切线超平面空间的研究。这项研究旨在增加对实代数几何中与复杂几何有显著不同的主题的理解。这项研究对教育环境中的计算机图形学具有潜在的作用。预计将有本科生参与。***

9404497 Oshea The project will adapt methods for obtaining qualitative geometric information concerning singularities of complex analytic sets relative to real algebraic geometry In particular, the study of the space of limiting tangent hyperplanes will be undertaken. This research intends to increase the understanding of topics in real algebraic geometry which are significantly different from their complex counterparts. The research has potential to computer graphics in an educational setting. Participation of undergraduate students is expected. ***