Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Margherita Guida"'
Over an infinite field $K$, we investigate the minimal free resolution of some configurations of lines. We explicitly describe the minimal free resolution of "complete grids of lines" and obtain an analogous result about the so-called "complete pseud
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5cb4538f40e32222d7cfa0b0c88eef8
Publikováno v:
Journal of Pure and Applied Algebra. 220:34-54
We study the locus of the liftings of a homogeneous ideal $H$ in a polynomial ring over any field. We prove that this locus can be endowed with a structure of scheme $\mathrm L_H$ by applying the constructive methods of Gr\"obner bases, for any given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24a3524d1e671fa3065ee9d6336689cd
https://doi.org/10.1016/j.jpaa.2015.05.041
https://doi.org/10.1016/j.jpaa.2015.05.041
Autor:
Margherita Guida
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 25:297-310
In this paper we compute the minimal free resolution and then the Hilbert function of a $$m$$ m -homogeneous fat complete grid in $$\mathbb {P}^3_\mathbf {K}$$ P K 3 . This proves a conjecture about the minimal free resolution of these configurations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d2992048ea2304d9e1454184bc74912
https://doi.org/10.1007/s00200-014-0229-0
https://doi.org/10.1007/s00200-014-0229-0
Autor:
Margherita Guida, Ferruccio Orecchia
Publikováno v:
Ricerche di Matematica. 63:329-334
In this paper we compute the Hilbert function and the Hilbert polynomial of the projective closure of a set of lines in the affine space \({\mathbb A}^n_K\), which are parallel to the coordinate axes and pass through a lattice of points. These result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3a956ccf45f965832df43c26a0e26ce
https://doi.org/10.1007/s11587-014-0184-x
https://doi.org/10.1007/s11587-014-0184-x
Autor:
Margherita Guida
Publikováno v:
Ricerche di Matematica. 57:159-167
In this paper we study the syzygy modules of a grid or a fat grid of \({\mathbb{P}^n_{\bf K}}\). We compute the minimal free resolution for the ideal of a complete grid in \({\mathbb{P}^3_{\bf K}}\), and we conjecture this resolution in \({\mathbb{P}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c3ea3ac1cd1052fc9891d21c30f0814
https://doi.org/10.1007/s11587-008-0027-8
https://doi.org/10.1007/s11587-008-0027-8
In this paper we consider some configurations of lines whose ideals are generated by a product of linear forms. We show that in general these ideals are 1-lifting or pseudo 1-lifting of monomial ideals. This proves also that these ideals are Arithmet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d1c05e67de7748d6a475628b93e3c78
http://hdl.handle.net/11588/620069
http://hdl.handle.net/11588/620069