Zobrazeno 1 - 10
of 72
pro vyhledávání: '"De Negri, Emanuela"'
The rate of a standard graded $K$-algebra $A$ is a measure of the growth of the shifts in a minimal free resolution of $K$ as an $A$-module. In particular $A$ has rate one if and only if it is Koszul. It is known that a generic Artinian Gorenstein al
Externí odkaz:
http://arxiv.org/abs/2304.14842
Can one tell if an ideal is radical just by looking at the degrees of the generators? In general, this is hopeless. However, there are special collections of degrees in multigraded polynomial rings, with the property that any multigraded ideal genera
Externí odkaz:
http://arxiv.org/abs/2203.08732
Publikováno v:
Algebr. Comb. 3 (2020), no. 5, 1011--1021
The goal of this short note is to study the secant varieties of the triple Segre product of type (1,a,b) by means of the standard tools of combinatorial commutative algebra. We reprove and extend to arbitrary characteristic results of Landsberg and W
Externí odkaz:
http://arxiv.org/abs/1910.08733
What kind of reduced monomial schemes can be obtained as a Gr\"obner degeneration of a smooth projective variety? Our conjectured answer is: only Stanley-Reisner schemes associated to acyclic Cohen-Macaulay simplicial complexes. This would imply, in
Externí odkaz:
http://arxiv.org/abs/1906.03192
Autor:
De Negri, Emanuela, Sbarra, Enrico
Jet schemes and arc spaces received quite a lot of attention by researchers after their introduction, due to J. Nash, and established their importance as an object of study in M. Kontsevich's motivic integration theory. Several results point out that
Externí odkaz:
http://arxiv.org/abs/1901.09602
Inspired by work of Cartwright and Sturmfels, in a previous paper we introduced two classes of multigraded ideals named after them. These ideals are defined in terms of properties of their multigraded generic initial ideals. The goal of this paper is
Externí odkaz:
http://arxiv.org/abs/1705.00575
Let I be either the ideal of maximal minors or the ideal of 2-minors of a row graded or column graded matrix of linear forms L. In two previous papers we showed that I is a Cartwright-Sturmfels ideal, that is, the multigraded generic initial ideal gi
Externí odkaz:
http://arxiv.org/abs/1608.08944
We describe the universal Groebner basis of the ideal of maximal minors and the ideal of $2$-minors of a multigraded matrix of linear forms. Our results imply that the ideals are radical and provide bounds on the regularity. In particular, the ideals
Externí odkaz:
http://arxiv.org/abs/1608.08942
We show that the ideal generated by the $(n-2)$ minors of a general symmetric $n$ by $n$ matrix has an initial ideal that is the Stanley-Reisner ideal of the boundary complex of a simplicial polytope and has the same Betti numbers.
Externí odkaz:
http://arxiv.org/abs/1409.2135
Autor:
De Negri, Emanuela, Gorla, Elisa
Publikováno v:
Commutative Algebra and Its Connections to Geometry, A. Corso and C. Polini Editors, Contemporary Mathematics 555 (2011), 47-62
Ideals generated by pfaffians are of interest in commutative algebra and algebraic geometry, as well as in combinatorics. In this article we compute multiplicity and Castelnuovo-Mumford regularity of pfaffian ideals of ladders. We give explicit formu
Externí odkaz:
http://arxiv.org/abs/1303.6874