Standard monomials and invariant theory for arc spaces I: General linear group

被引：3
|
作者：
Linshaw, Andrew R. [1 ]
Song, Bailin [2 ]
机构：
[1] Univ Denver, Dept Math, CM Knudson Hall,2390 S York St, Denver, CO 80210 USA
[2] Univ Sci & Technol China, Sch Math Sci, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2024年 / 26卷 / 04期
关键词：
Standard monomial; invariant theory; arc space; JET SCHEMES; G-P; GEOMETRY;
D O I：
10.1142/S021919972350013X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This is the first in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field K, we construct a standard monomial basis for the arc space of the determinantal variety over K. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the general linear group.
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页数：38
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