IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Sign conditions for the existence of at least one positive solution of a sparse polynomial system
Autor/es:
F. BIHAN; A. DICKENSTEIN; M. GIAROLI
Revista:
ADVANCES IN MATHEMATICS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2020 vol. 375
ISSN:
0001-8708
Resumen:
We give sign conditions on the support and coefficients of a sparse system ofd generalized polynomials in d variables that guarantee the existence of atleast one positive real root, based on degree theory and Gale duality. In thecase of integer exponents, we relate our sufficient conditions to algebraicconditions that emerged in the study of toric ideals.
