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
收藏
页码：993 / 1003
页数：11
相关论文
共 50 条
12345