RT Journal Article
T1 Base field restriction techniques for parametric curves.
A1 Andradas Heranz, Carlos
A1 Recio, Tomás
A1 Sendra, J. Rafael
AB Given a variety V, implicitly defined over an algebraic separable field extension k(alpha), A. Weil [5] developed a restriction technique (called by him a descente method),that associates to V a suitable k-variety W, such that many properties of V can be analyzed by merely looking at W, that is, by descending to the base field k. In this paper we present a parametric counterpart, for curves, of Weil's construction. As an application, we state some simple algorithmic criteria over the variety W that translate, for instance, the k-definability of a parametric curve V, or the existence of an infinite number of L-rational points in V.
PB Association for Computing Machinery
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57197
UL https://hdl.handle.net/20.500.14352/57197
LA eng
NO International Symposium on Symbolic and Algebraic Computation, JUL 29-31, 1999 Vancouver,Canada
NO DGES
NO DGESIC
NO ESPTINT-IV:"FRISCO"
NO DGES
DS Docta Complutense
RD 12 abr 2025