INVESTIGADORES
JERONIMO gabriela Tali
artículos
Título:
On degree bounds for the sparse Nullstellensatz
Autor/es:
MARÍA ISABEL HERRERO; GABRIELA JERONIMO; JUAN SABIA
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2019 vol. 534 p. 531 - 544
ISSN:
0021-8693
Resumen:
We prove new upper bounds for the degrees in Hilbert´s Nullstellensatz and for the Noether exponent of polynomial ideals in terms of the monomial structure of the polynomials involved. Our bounds improve the previously known bounds in the sparse setting and are the first to take into account the different supports of the polynomials.