Axial constants and sectional regularity of homogeneous ideals

Michael DeBellevue; Audric Lebovitz; Yik LiMohamed LotfiShivam MohiteXin PanMrigank Shekhar PathakShah Roshan ZamirAlexandra SeceleanuSindy Xin Zhang

首页> 外文期刊>Proceedings of the American Mathematical Society >Axial constants and sectional regularity of homogeneous ideals

【24h】

Axial constants and sectional regularity of homogeneous ideals

机译：Axial constants and sectional regularity of homogeneous ideals

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

We introduce a notion of sectional regularity for a homogeneous ideal $I$, which measures the regularity of its general sections with respect to linear spaces of various dimensions. It is related to axial constants defined as the intercepts on the coordinate axes of the set of exponents of monomials in the reverse lexicographic generic initial ideal of $I$. We show the equivalence of these notions and several other homological and ideal-theoretic invariants. We also establish that these equivalent invariants grow linearly for the family of powers of a given ideal.

著录项

来源
《Proceedings of the American Mathematical Society》 |2023年第4期|1363-1378|共16页
作者
Michael DeBellevue; Audric Lebovitz; Yik LiMohamed LotfiShivam MohiteXin PanMrigank Shekhar PathakShah Roshan ZamirAlexandra SeceleanuSindy Xin Zhang;
展开▼
作者单位

Department of Mathematics, Syracuse University;

Department of Mathematics, University of Michigan;

Departmet of Mathematics, Purdue UniversityDepartment of Mathematics and Computer Science, Wagner CollegeDepartment of Mathematics, Vanderbilt UniversityDepartment of Mathematics, University of RochesterInstitute of Mathematics and ApplicationsDepartment of Mathemtics, University of Nebraska-LincolnDepartment of Mathematics, University at Buffalo;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类数学;
关键词

Axial constants and sectional regularity of homogeneous ideals

摘要

著录项

相关主题

期刊订阅