TY - JOUR
T1 - Schmidt rank of quartics over perfect fields
AU - Kazhdan, David
AU - Polishchuk, Alexander
N1 - Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.
PY - 2023/6
Y1 - 2023/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85144932548&partnerID=8YFLogxK
U2 - 10.1007/s11856-022-2457-5
DO - 10.1007/s11856-022-2457-5
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AN - SCOPUS:85144932548
SN - 0021-2172
VL - 255
SP - 851
EP - 869
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -