RT Journal Article
T1 Real plane algebraic curves.
A1 Puente Muñoz, María Jesús De La
AB We study real algebraic plane curves, at an elementary level, using as little algebra as possible. Both cases, affine and projective, are addressed. A real curve is infinite, finite or empty according to the fact that a minimal polynomial for the curve is indefinite, semi-definite nondefinite or definite. We present a discussion about isolated points. By means of the P operator, these points can be easily identified for curves defined by minimal polynomials of order bigger than one. We also discuss the conditions that a curve must satisfy in order to have a minimal polynomial. Finally, we list the most relevant topological properties of affine and projective, complex and real plane algebraic curves.
PB Elsevier
SN 0723-0869
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/58550
UL https://hdl.handle.net/20.500.14352/58550
LA eng
DS Docta Complutense
RD 5 abr 2025