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Andradas Heranz, Carlos ; Recio, Tomás ; Sendra, J. Rafael | Association for Computing Machinery | 1999Given 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[...]texto impreso
Arrondo Esteban, Enrique ; Sendra, Juana ; Sendra, J. Rafael | Elsevier Science B.V. (North-Holland) | 1999In this paper, we present a formula for computing the genus of irreducible generalized offset curves to projective irreducible plane curves with only affine ordinary singularities over an algebraically closed field. The formula expresses the gen[...]texto impreso
Let K subset of R be a computable field. We present an algorithm to decide whether a proper rational parametrization of a ruled surface, with coefficients in K((i), can be properly reparametrized over a real (i.e. embedded in R) finite field ext[...]texto impreso
In this paper we extend the classical notion of offset to the concept of generalized offset to hypersurfaces. In addition, we present a complete theoretical analysis of the rationality and unirationality of generalized offsets. Characterizations[...]texto impreso
Andradas Heranz, Carlos ; Recio, Tomás ; Sendra, J. Rafael ; Tabera, Luis F. ; Villarino, Carlos | Springer | 2014-04Let be a computable subfield of the real numbers (for instance, ). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in , can be reparametrized over a real (i.e., embedded in ) finit[...]
