Title
Computing the topology of an arrangement of quartics
Abstract
We analyze how to compute in an efficient way the topology of an arrangement of quartic curves. We suggest a sweeping method that generalizes the one presented by Eigenwillig et al. for cubics. The proposed method avoids working with the roots of the involved resultants (most likely algebraic numbers) in order to give an exact and complete answer. We only treat in detail the cases of one and two curves because we do not introduce any significant variation in the several curves case with respect to Eigenwillig's paper.
Year
DOI
Venue
2007
10.1007/978-3-540-73843-5_7
IMA Conference on the Mathematics of Surfaces
Keywords
DocType
Volume
likely algebraic number,complete answer,quartic curve,sweeping method,curves case,significant variation,involved resultant
Conference
4647
ISSN
Citations 
PageRank 
0302-9743
4
0.45
References 
Authors
11
2
Name
Order
Citations
PageRank
Jorge Caravantes1114.72
Laureano Gonzalez-Vega219917.77