arXiv Open Access 2008

Analyzing the Topology Types arising in a Family of Algebraic Curves Depending On Two Parameters

Juan Gerardo Alcazar

Lihat Sumber

Abstrak

Given the implicit equation $F(x,y,t,s)$ of a family of algebraic plane curves depending on the parameters $t,s$, we provide an algorithm for studying the topology types arising in the family. For this purpose, the algorithm computes a finite partition of the parameter space so that the topology type of the family stays invariant over each element of the partition. The ideas contained in the paper can be seen as a generalization of the ideas in \cite{JGRS}, where the problem is solved for families of algebraic curves depending on one parameter, to the two-parameters case.

Topik & Kata Kunci

cs.SC

Penulis (1)

Juan Gerardo Alcazar

Format Sitasi

APA MLA BibTeX

Alcazar, J.G. (2008). Analyzing the Topology Types arising in a Family of Algebraic Curves Depending On Two Parameters. https://arxiv.org/abs/0801.1676

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2008
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓