3 problems

Let $M$ be an arbitrary commutative, cancellative, torsion-free monoid without non-trivial units, let $R$ be a regular ring, and let $i>0$. For every sequence…

Let $S$ be a Noetherian scheme, let $G$ be a flat group scheme over $S$, and let $X$ be a $G$-scheme over $S$. A $G$-module on $X$ is an ${\mathcal O}_X$-module with the compatible…

Sign action conjecture. Every $\sigma \in \Sigma_n$ acts on $K_n(X)$ by multiplication by $\operatorname{sgn}(\sigma)$.