Schmidt rank of quartics over perfect fields

Let k be a perfect field of characteristic ≠ 2. We prove that the Schmidt rank (also known as strength) of a quartic polynomial f over k is bounded above in terms of only the Schmidt rank of f over k ¯ , an algebraic closure of k .

Saved in:
Bibliographic Details
Published in:Israel journal of mathematics 2023-06, Vol.255 (2), p.851-869
Main Authors: Kazhdan, David, Polishchuk, Alexander
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Polynomials
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let k be a perfect field of characteristic ≠ 2. We prove that the Schmidt rank (also known as strength) of a quartic polynomial f over k is bounded above in terms of only the Schmidt rank of f over k ¯ , an algebraic closure of k .
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-022-2457-5