Negative $K$-theory and Chow group of monoid algebras

10 Sep 2019 Krishna Amalendu Sarwar Husney Parvez

We show, for a finitely generated partially cancellative torsion-free commutative monoid $M$, that $K_i(R) \cong K_i(R[M])$ whenever $i \le -d$ and $R$ is a quasi-excellent $\Q$-algebra of Krull dimension $d \ge 1$. In particular, $K_i(R[M]) = 0$ for $i < -d$... (read more)

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  • ALGEBRAIC GEOMETRY