On the Behrend function and the blowup of some fat points

Michele Graffeo, Andrea T. Ricolfi

The Behrend function of a $\mathbb{C}$-scheme $X$ is a constructible function ${\nu }_X:X(\mathbb{C})\to \mathbb{Z}$ introduced by Behrend, intrinsic to the scheme structure of $X$.…