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pro vyhledávání: '"Cerminara, Armando"'
We identify several classes of curves $C:f=0$, for which the Hilbert vector of the Jacobian module $N(f)$ can be completely determined, namely the 3-syzygy curves, the maximal Tjurina curves and the nodal curves, having only rational irreducible comp
Externí odkaz:
http://arxiv.org/abs/1905.04055
We study a generalization of Nagata idealization for level algebras. These algebras are standard graded Artinian algebras whose Macaulay dual generator is given explicity as a bigraded polynomial of bidegree $(1,d)$. We consider the algebra associate
Externí odkaz:
http://arxiv.org/abs/1807.06415
Publikováno v:
In Journal of Pure and Applied Algebra December 2020 224(12)
Publikováno v:
In Advances in Applied Mathematics May 2019 106:37-56
Autor:
Cerminara, Armando
We study the Lefschetz properties for higher order Nagata idealizations and we describe the associated algebras in the monomial square free. Moreover we study the asymptotic behaviour of the Hilbert function. Finally we give a description of the Jaco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______152::f34a7d6657a831ba2c40c174487bca75
http://www.fedoa.unina.it/12953/
http://www.fedoa.unina.it/12953/
The first example of a non unimodal Gorenstein h-vector was given by Stanley, it is ( 1 , 13 , 12 , 13 , 1 ) . In [14] the authors showed that Stanley's example is optimal, i.e., the vector ( 1 , 12 , 11 , 12 , 1 ) is not a Gorenstein h-vector. Our m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f89dc4ae3afb084cccfd0190480e374f
http://hdl.handle.net/11588/807020
http://hdl.handle.net/11588/807020
We study a generalization of Nagata idealization for level algebras. These algebras are standard graded Artinian algebras whose Macaulay dual generator is given explicity as a bigraded polynomial of bidegree $(1,d)$. We consider the algebra associate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ceb3f1a9a5033b9a1492156e4fa0c5a6
http://hdl.handle.net/11588/744729
http://hdl.handle.net/11588/744729
We identify several classes of curves $C:f=0$, for which the Hilbert vector of the Jacobian module $N(f)$ can be completely determined, namely the 3-syzygy curves, the maximal Tjurina curves and the nodal curves, having only rational irreducible comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fa6887fd95a22885848f01951ebfc1c