@article{10902/5252,
year = {2013},
month = {3},
url = {http://hdl.handle.net/10902/5252},
abstract = {Let K be a field of characteristic zero and let α be an algebraic
element of degree n over K. Given a proper parametrization ψ
of a rational curve C with coefficients in K(α), we present
a new algorithm to compute the hypercircle associated to the
parametrization ψ. As a consequence, we can decide if C is defined
over K and, if not, we can compute the minimum field of definition
of C containing K. The algorithm exploits the structure of the
conjugate curves of C but avoids computing in the normal closure
of K(α) over K.},
publisher = {Elsevier},
publisher = {Journal of Symbolic Computation, Vol. 50, Pp. 450-464, (2013)},
title = {Computing hypercircles by moving hyperplanes},
author = {Tabera Alonso, Luis Felipe},
}