RT Journal Article
T1 Real Plane Algebraic Curves
A1 Puente Muñoz, María Jesús de la
AB This paper provides an elementary exposition of affine and projective real plane curves. Where possible, elementary proofs are given, but to some extent, one must make use of results from algebraic geometry (over the complex numbers) and real algebraic geometry. The bulk of the paper discusses algebraic aspects of affine and projective curves, but there is a short section at the end on topological aspects. A major theme of the paper is that real affine curves VR(f) with f an indefinite polynomial in R[X, Y ] have similar properties to complex affine curves,but semidefinite polynomials give rise to much different behavior. Many examples are given to illustrate the concepts.
PB Elsevier
SN 0723-0869
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57076
UL https://hdl.handle.net/20.500.14352/57076
LA eng
NO DGICYT
DS Docta Complutense
RD 30 abr 2024