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Schmidt rank of quartics over perfect fields (2110.10244v1)
Published 19 Oct 2021 in math.AG and math.AC
Abstract: Let $k$ be a perfect field of characteristic $\neq 2$. 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 $\overline{k}$, an algebraic closure of $k$.
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