RT info:eu-repo/semantics/article
T1 On the problem of proper reparametrization for rational curves and surfaces
A1 Pérez Díaz, Sonia
K1 Proper reparametrization
K1 Rational curve
K1 Rational surface
K1 Matemáticas
K1 Mathematics
AB A rational parametrization of an algebraic curve (resp. surface) establishes a rational correspondence of this curve (resp. surface) with the affine or projective line (resp. affine or projective plane). This correspondence is a birational equivalence if the parametrization is proper. So, intuitively speaking, a rational proper parametrization trace the curve or surface once. We consider the problem of computing a proper rational parametrization from a given improper one. For the case of curves we generalize, improve and reinterpret some previous results. For surfaces, we solve the problem for some special surface's parametrizations.
PB Elsevier
SN 0167-8396
YR 2006
FD 2006-05
LK http://hdl.handle.net/10017/49538
UL http://hdl.handle.net/10017/49538
LA eng
DS MINDS@UW
RD 19-abr-2024