TITLE: A question about the Buchsbaum-Eisenbud-Horrocks Conjecture
QUESTION [5 upvotes]: It's known that Mark E. Walker proved the "weaker" version of Buchsbaum-Eisenbud-Horrocks' Conjecture (BEH). Although the claim was stated to hold in arbitrary field $k$, Walker's proof does not seem to include the case when $k$ is of characteristic $2$.

QUESTIONS. Has weak BEH been proved or disproved when $k$ is of $char=2$? Why does this special characteristic resist, philosophically or technically?

REPLY [4 votes]: The issue is that the cyclic Adams operation $\psi^2_{cy}$ is not defined when the characteristic of the base field is 2. There are some notes here by Mark Walker himself that do a good job of explaining Adams operations for commutative algebraists.