Involution on the Graded Grothendieck Ring of Varieties and $\mathbb{D}$-Singularities

Andrew Burke

We realize a graded variant $K_0(Va{r}_k^{dim})$ of the Grothendieck ring of varieties as a quadratic extension of the subring $K_0(Va{r}_k^{sp})$ spanned by classes of smooth and prop…