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pro vyhledávání: '"Zappala, Giuseppe"'
Autor:
Zappalà, Giuseppe
We study the Hilbert function and the graded Betti numbers of almost complete intersection artinian algebras. We show that that every Hilbert function of a complete intersection artinian algebra is the Hilbert function of an almost complete intersect
Externí odkaz:
http://arxiv.org/abs/2403.18507
We conjecture that a class of Artinian Gorenstein Hilbert algebras called full Perazzo algebras always have minimal Hilbert function, fixing codimension and length. We prove the conjecture in length four and five, in low codimension. We also prove th
Externí odkaz:
http://arxiv.org/abs/2206.05572
Autor:
Zappalà, Giuseppe
We study properties of the resolution of almost Gorenstein artinian algebras $R/I,$ i.e. algebras defined by ideals $I$ such that $I=J+(f),$ with $J$ Gorenstein ideal and $f\in R.$ Such algebras generalize the well known almost complete intersection
Externí odkaz:
http://arxiv.org/abs/2002.06831
Autor:
Gondim, Rodrigo, Zappala', Giuseppe
We introduce a new type of Hessian matrix, that we call Mixed Hessian. The mixed Hessian is used to compute the rank of a multiplication map by a power of a linear form in a standard graded Artinian Gorenstein algebra. In particular we recover the ma
Externí odkaz:
http://arxiv.org/abs/1803.09664
Autor:
Ragusa, Alfio, Zappalà, Giuseppe
We investigate the standard generalized Gorenstein algebras of homological dimension three, giving a structure theorem for their resolutions. Moreover in many cases we are able to give a complete description of their graded Betti numbers.
Externí odkaz:
http://arxiv.org/abs/1612.02472
Autor:
Gondim, Rodrigo, Zappalà, Giuseppe
We introduce a family of standard bigraded binomial Artinian Gorenstein algebras, whose combinatoric structure characterizes the ones presented by quadrics. These algebras provide, for all socle degree grater than two and in sufficiently large codime
Externí odkaz:
http://arxiv.org/abs/1601.04454
Publikováno v:
In Journal of Pure and Applied Algebra December 2020 224(12)
Akademický článek
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Some well-known arithmetically Cohen-Macaulay configurations of linear varieties in $\mathbb{P}^r$ as $k$-configurations, partial intersections and star configurations are generalized by introducing tower schemes. Tower schemes are reduced schemes th
Externí odkaz:
http://arxiv.org/abs/1401.3535