LEFSCHETZ PROPERTIES FOR ARTINIAN GORENSTEIN ALGEBRAS PRESENTED BY QUADRICS

被引：23

作者：

Gondim, Rodrigo ^{[1
]}

Zappala, Giuseppe

机构：

[1] Univ Fed Rural Pernambuco, Av Don Manoel Medeiros S-N, BR-52171900 Recife, PE, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 03期

关键词：

WEAK; HYPERSURFACES;

D O I：

10.1090/proc/13822

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a family of Artinian Gorenstein algebras, whose combinatorial structure characterizes the ones presented by quadrics. Under certain hypotheses these algebras have non-unimodal Hilbert vector. In particular we provide families of counterexamples to the conjecture that Artinian Gorenstein algebras presented by quadrics should satisfy the weak Lefschetz property.

引用

页码：993 / 1003

页数：11

共 50 条

[21] A note on Artinian Gorenstein algebras of codimension three
Harima, T
JOURNAL OF PURE AND APPLIED ALGEBRA, 1999, 135 (01) : 45 - 56
[22] A NOTE ON ARTINIAN GORENSTEIN ALGEBRAS DEFINED BY MONOMIALS
BEINTEMA, MB
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (01) : 1 - 3
[23] Isomorphism Classes of Certain Artinian Gorenstein Algebras
Elias, Juan
Valla, Giuseppe
ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (03) : 429 - 448
[24] The Jordan type of graded Artinian Gorenstein algebras
Costa, Barbara
Gondim, Rodrigo
ADVANCES IN APPLIED MATHEMATICS, 2019, 111
[25] The central simple modules of Artinian Gorenstein algebras
Harima, Tadahito
Watanabe, Junzo
JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 210 (02) : 447 - 463
[26] Fast Algorithm for Border Bases of Artinian Gorenstein Algebras
Mourrain, Bernard
PROCEEDINGS OF THE 2017 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC'17), 2017, : 333 - 340
[27] The structure of Gorenstein-linear resolutions of Artinian algebras
El Khoury, Sabine
Kustin, Andrew R.
JOURNAL OF ALGEBRA, 2016, 453 : 492 - 560
[28] Lefschetz properties of Gorenstein graded algebras associated to the Apery set of a numerical semigroup
Guerrieri, Lorenzo
ARKIV FOR MATEMATIK, 2019, 57 (01): : 85 - 106
[29] The Weak Lefschetz Property of Artinian Algebras Associated to Paths and Cycles
Nguyen, Hop D.
Tran, Quang Hoa
ACTA MATHEMATICA VIETNAMICA, 2024, 49 (03) : 523 - 544
[30] BETTI NUMBERS FOR CONNECTED SUMS OF GRADED GORENSTEIN ARTINIAN ALGEBRAS
Altafi, Nasrin
Di Gennaro, Roberta
Galetto, Federico
Grate, Sean
Miro-Roig, Rosa M.
Nagel, Uwe
Seceleanu, Alexandra
Watanabe, Junzo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 378 (02) : 1055 - 1080

← 1 2 3 4 5 →