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

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