arXiv subjects

Ian Selvaggi

Publications and source records attributed to Ian Selvaggi.

3 recordsLinked to original sources

arXiv2026

Deformations of locally constant stability conditions and good moduli spaces

We give a structure result on the set of locally constant stability conditions, $\operatorname{Stab}(\mathcal{D}/R)$, defined by Halpern-Leistner-Robotis showing that it has the structure of a complex manifold, in total analogy with Bridgeland's work. As a consequence, we show that the property of having relative mass-hom bounds and the existence of good moduli spaces depends only on the connected components of $\operatorname{Stab}(\mathcal{D}/R)$. Lastly, we observe that the datum of a locally constant stability condition is equivalent to that of a flat family of stability conditions, as described by Bayer et al. in the context of noncommutative algebraic geometry.

math.AG↗

arXiv2026

The Chow Ring of the Hilbert Cube

Given a smooth projective variety $X$ over an algebraically closed field $k$, we compute the Chow ring of the Hilbert scheme of three points on $X$, $\operatorname{Hilb}^3(X)$, as an algebra with generators and relations over the Chow ring of $X\times\operatorname{Sym}^2(X)$. If in addition the characteristic of $k$ is zero, we extend the computation to the quasi-projective case.

math.AG↗

arXiv2025

Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type

We prove that very general, dual Gushel-Mukai surfaces are not isomorphic, though derived and L-equivalent. We use this result to study two semiorthogonal decompositions for a family of Fano fourfolds of K3 type, answering a question by Bernardara-Fatighenti-Manivel-Tanturri.

math.AG↗