Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Maria Isabel Herrero"'
Publikováno v:
Journal of Algebra. 534:531-544
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 sett
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0d5033b346309f9a536c4b5d31de5c1
https://doi.org/10.1016/j.jalgebra.2019.06.014
https://doi.org/10.1016/j.jalgebra.2019.06.014
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
We give formulas for the multiplicity of any affine isolated zero of a generic polynomial system of n equations in n unknowns with prescribed sets of monomials. First, we consider sets of supports such that the origin is an isolated root of the corre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af96266750816ee5aa17e99998833bd6
https://link.springer.com/article/10.1007/s00454-018-0025-x
https://link.springer.com/article/10.1007/s00454-018-0025-x
We consider the problem of deciding whether a common solution to a multivariate polynomial equation system is isolated or not. We present conditions on a given truncated Puiseux series vector centered at the point ensuring that it is not isolated. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c3ffd90ca435e1715b287fb1243a259
http://www.tandfonline.com/doi/full/10.1080/00927872.2015.1033717
http://www.tandfonline.com/doi/full/10.1080/00927872.2015.1033717
Publikováno v:
Theor Comput Sci 2010;411(44-46):3894-3904
Biblioteca Digital (UBA-FCEN)
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
Biblioteca Digital (UBA-FCEN)
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
We present a symbolic probabilistic algorithm to compute the isolated roots in Cn of sparse polynomial equation systems. As some already known numerical algorithms solving this task, our procedure is based on polyhedral deformations and homotopies, b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cf9a3567d5abda837c1220cd3eb829c
https://doi.org/10.1016/j.tcs.2010.07.015
https://doi.org/10.1016/j.tcs.2010.07.015
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
We present a new probabilistic symbolic algorithm that, given a variety defined in an n-dimensional affine space by a generic sparse system with fixed supports, computes the Zariski closure of its projection to an l-dimensional coordinate affine spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e12b2f6d42f09359525a62ce340598a3
https://link.springer.com/article/10.1007/s00454-014-9571-z
https://link.springer.com/article/10.1007/s00454-014-9571-z
This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polynomial systems. For generic systems with fixed supports, we give combinatorial conditions for the existence of positive dimensional components which cha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa75900c4c58f054c838300636593e4b