Michele Graffeo

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math.AG2023

A counterexample to the parity conjecture

Franco Giovenzana, Luca Giovenzana, Michele Graffeo +1

Let $[Z] \in Hilb^{d} A^{3}$ be a zero-dimensional subscheme of the affine three-dimensional complex space of length $d > 0$ . Okounkov and Pandharipande have conjectured tha…

math.AG2022

On the Behrend function and the blowup of some fat points

Michele Graffeo, Andrea T. Ricolfi

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