Betti numbers of Bresinsky's curves in A4

被引：4
|
作者：
Mehta, Ranjana [1 ]
Saha, Joydip [1 ]
Sengupta, Indranath [1 ]
机构：
[1] IIT Gandhinagar, Discipline Math, Palaj Gandhinagar 382355, Gujarat, India
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 08期
关键词：
Monomial curves; Grobner bases; Betti numbers; SEMIGROUPS;
D O I：
10.1142/S0219498819501433
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bresinsky defined a class of monomial curves in A(4) with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behavior of unboundedness is true for all the Betti numbers and construct an explicit minimal free resolution for the defining ideal of this class of curves.
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页数：14
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