Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Patrizia Gianni"'
This book provides a first introduction to the fundamental concepts of commutative algebra. What sets it apart from other textbooks is the extensive collection of 400 solved exercises, providing readers with the opportunity to apply theoretical knowl
Publikováno v:
Algebraic Groups and Related Topics, R. Hotta, ed. (Tokyo: Mathematical Society of Japan, 1985)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88d055366c926619bcfb41662845145e
https://doi.org/10.2969/aspm/00610515
https://doi.org/10.2969/aspm/00610515
Publikováno v:
Journal of Symbolic Computation. 68:131-166
Given a real algebraic surface $S$ in $\pro$, we propose a procedure to determine the topology of $S$ and to compute non-trivial topological invariants for the pair $(\pro, S)$ under the hypothesis that the real singularities of $S$ are isolated. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20a8ae01164fe66e84d7988e8e2a7e0a
https://doi.org/10.1016/j.jsc.2014.09.009
https://doi.org/10.1016/j.jsc.2014.09.009
Publikováno v:
Journal of Symbolic Computation. 44(9):1234-1254
In this paper we show that the ideal of any algebraic curve in affine 3-space whose Jacobian matrix has rank at least 1 at every singular point of the curve can be generated by three polynomials and we give constructive procedures to compute such gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b0043b43b1a7858d6f59b3fb86a83cc
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 16:271-292
The paper deals with the question of recognizing the mutual positions of the connected components of a non-singular real projective surface S in the real projective 3-space. We present an algorithm that answers this question through the computation o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b4621517f30845c4d47587c88a8baf3
https://doi.org/10.1007/s00200-005-0176-x
https://doi.org/10.1007/s00200-005-0176-x
Publikováno v:
Journal of Symbolic Computation. 38:1551-1567
We present an algorithm to compute the topology of a non-singular real algebraic surface S in RP3, that is the number of its connected components and a topological model for each of them. Our strategy consists in computing the Euler characteristic of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f3fa786524c3cc53868c2a339e64b60
https://doi.org/10.1016/j.jsc.2004.08.001
https://doi.org/10.1016/j.jsc.2004.08.001
Publikováno v:
Journal of Symbolic Computation. 36(3-4):343-364
We present constructive algorithms to determine the topological type of a non-singular orientable real algebraic projective surface S in the real projective space, starting from a polynomial equation with rational coefficients for S. We address this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7dbdf2ede972c6a92a983eda427aea52
Publikováno v:
Journal of Symbolic Computation. 33:609-625
The purpose of this paper is to give a complete effective solution to the problem of computing radicals of polynomial ideals over general fields of arbitrary characteristic. We prove that Seidenberg’s “Condition P" is both a necessary and suffici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d881a73fcba5fe55658167874dab87a
https://doi.org/10.1006/jsco.2002.0525
https://doi.org/10.1006/jsco.2002.0525
Publikováno v:
Journal of Pure and Applied Algebra. 164(1-2):153-163
We examine the degree relationship between the elements of an ideal I ⊆ R[x] and the elements of ’(I ) where ’ : R → R is a ring homomorphism. When R is a multivariate polynomial ring over a 3eld, we use this relationship to show that the ima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebfe692d6c662b6bd4f2ad292e438902
Autor:
Elisabetta Fortuna, Patrizia Gianni
Publikováno v:
ACM SIGSAM Bulletin. 33:14-32
In ([GT]) has been addressed the problem of the computation of the square-free decomposition for univariate polynomials with coefficients in arbitrary fields. The complete square-free decomposition can be computed over arbitrary fields of finite char
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::453b9c3af7d750bc3e75b5a99aa288bf
https://doi.org/10.1145/500457.500460
https://doi.org/10.1145/500457.500460