Schmidt rank of quartics over perfect fields

David Kazhdan; Alexander Polishchuk

doi:10.1007/s11856-022-2457-5

Schmidt rank of quartics over perfect fields

David Kazhdan
, Alexander Polishchuk^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	851-869
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	255
Issue number	2
DOIs	https://doi.org/10.1007/s11856-022-2457-5
State	Published - Jun 2023

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© 2022, The Hebrew University of Jerusalem.

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Schmidt rank of quartics over perfect fields

Abstract

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