LAUSR

This is a contribution toward calculating the K-theory of a certain class of affine algebraic surfaces which is made possible due to works by Cortinas, Haesemeyer, Schlichting, Walker and Weibel. We discover that the negative K-theory and higher reduced $${\widetilde{K}}_n$$ -group of the cone of a smooth projective plane curve over number field k, as vector spaces, are determined solely by the degree of the curve (and the ground field of course). In particular, the $${\widetilde{K}}_n$$ -groups of the cone for $$n\ge 2$$ alternate between zero and the Jacobian ring of the cone.