Saturation and vanishing ideals

  1. Philippe Gimenez 1
  2. Diego Ruano 1
  3. Rodrigo San-José 1
  1. 1 IMUVA-Mathematics Research Institute, Universidad de Valladolid
Buch:
EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones
  1. Galindo Pastor, Carlos (coord.)
  2. Gimenez, Philippe (coord.)
  3. Hernando Carrillo, Fernando (coord.)
  4. Monserrat Delpalillo, Francisco José (coord.)
  5. Moyano-Fernández, Julio José (coord.)

Verlag: Servei de Comunicació i Publicacions ; Universitat Jaume I

ISBN: 978-84-19647-46-7

Datum der Publikation: 2023

Seiten: 95-98

Kongress: Encuentro de Álgebra Computacional y Aplicaciones (17. 2022. Castelló de la Plana)

Art: Konferenz-Beitrag

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Zusammenfassung

We consider an homogeneous ideal I in the polynomial ring S = Fq [x1, . . . ,xm] over a finite field Fq and the finite set of projective rational points X that it defines in the projective space Pm−1. We concern ourselves with the problem of computing the vanishing ideal I(X). This is usually done by adding the equations of the projective space I(Pm−1) to I and computing the radical. We give an alternative and more efficient way using the saturation with respect to the homogeneous maximal ideal.

Fuente de los datos: Dialnet