Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Maria Grazia Marinari"'
Publikováno v:
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 98, Iss 2, p A3 (2020)
The aim of this note is to discuss the following quite queer problem: to compute the Gröbner basis of an ideal I w.r.t. a term-ordering ≺ without knowing neither the ideal nor the term-ordering but only a degree bound of the required Gröbner basi
Externí odkaz:
https://doaj.org/article/aa21ae16900c4185ad168b206578f7b1
Publikováno v:
Collectanea Mathematica; 2009: Vol.: 60 Núm.: 1; p. 89-100
Let $\rho_C$ be the regularity of the Hilbert function of a projective curve $C$ in $\mbox {P}^n_K$ over an algebraically closed field $K$ and $\beta_1, \ldots, \beta_{n-1}$ be degrees for which there exists a complete intersection of type ($\beta_1,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::399af90e186df5c2d557bc03cc4a06cd
https://doi.org/10.1007/bf03191218
https://doi.org/10.1007/bf03191218
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 17:409-451
We present some interesting computational applications of Macaulay’s notion of inverse systems and Noether equations. In particular, we discuss an algorithm by Macualay which computes the forgotten notion (introduced by Emmy Noether) of reduced irr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e43ad7db1173e2e7fedfcc49c962998a
https://doi.org/10.1007/s00200-006-0019-4
https://doi.org/10.1007/s00200-006-0019-4
Autor:
Luciana Ramella, Maria Grazia Marinari
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 16:45-68
In this paper a combinatorial characterization of stable, lex-segment and Borel ideals in P(n) := k[X1, ..., Xn] (assuming chark = 0) is given. The last ones are special monomial ideals, widely studied after the fundamental result of A. Galligo [7] (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0e3ff8cc7f48c1d2bf7d56c2693af08
https://doi.org/10.1007/s00200-005-0171-2
https://doi.org/10.1007/s00200-005-0171-2
Publikováno v:
Communications in Algebra. 31:783-818
Duality was introduced in Computer Algebra in 1982 by Moller and since that has been widely used. We give a survey of Moller algorithm and its applications, presenting a new one to the computation of canonical modules. “Its dual application” allo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc6a65ff025b69f18560b573ebf941ad
https://doi.org/10.1081/agb-120017343
https://doi.org/10.1081/agb-120017343
Publikováno v:
Transactions of the American Mathematical Society. 348:3283-3321
This paper deals with the description of the solutions of zero dimensional systems of polynomial equations. Based on different models for describing solutions, we consider suitable representations of a multiple root, or more precisely suitable descri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d6672853dff75fe2959cc69c19e2c1f
https://doi.org/10.1090/s0002-9947-96-01671-6
https://doi.org/10.1090/s0002-9947-96-01671-6
Using results obtained from the study of homogeneous ideals sharing the same initial ideal with respect to some term order, we prove the singularity of the point corresponding to a segment ideal with respect to the revlex term order in the Hilbert sc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2009bf397cd64715a3d69f9f44d58c3
Publikováno v:
Gröbner Bases, Coding, and Cryptography ISBN: 9783540938057
Gröbner Bases, Coding, and Cryptography
Gröbner Bases, Coding, and Cryptography
Gröbner Bases, Coding, and Cryptography, 2009
Gröbner Bases, Coding, and Cryptography, Springer, pp.285-305, 2009, 978-3-540-93805-7. ⟨10.1007/978-3-540-93806-4_16⟩
Gröbner Bases, Coding, and Cryptography
Gröbner Bases, Coding, and Cryptography
Gröbner Bases, Coding, and Cryptography, 2009
Gröbner Bases, Coding, and Cryptography, Springer, pp.285-305, 2009, 978-3-540-93805-7. ⟨10.1007/978-3-540-93806-4_16⟩
International audience; In 1993 Boo Barkee and others have written a paper “Why you cannot even hope to use Gröbner Bases in Public Key Cryptography: an open letter to a scientist who failed and a challenge to those who have not yet failed.” Sin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4933034f1c15c53efe055a00376f4771
https://hal-ensta-paris.archives-ouvertes.fr/hal-00974896
https://hal-ensta-paris.archives-ouvertes.fr/hal-00974896
By focusing our attention on the set of monomials outside a given monomial ideal, we tackle the study of the geometric configurations of (reduced) unions of projective linear varieties arising from lifting monomial ideals via a classic lifting proced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79829e927747b7c838cf1ba85c55bf2e
http://hdl.handle.net/11588/133179
http://hdl.handle.net/11588/133179
Publikováno v:
ISSAC
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f698367ae962dac35b0d94fbeede3011
https://doi.org/10.1145/220346.220368
https://doi.org/10.1145/220346.220368