Luigi Martinelli

collaborators

2 papers

math.AG2025

Higher-dimensional O'Grady's resolutions and their exceptional locus

Luigi Martinelli

For any $n \geq 3$ , we consider the moduli space $M_{n}$ of semistable sheaves with Mukai vector $2 (1, 0, 1 - n)$ on a K3 surface. The moduli space $M_{n}$ is singular and lacks a crepant r…

math.AG2022

Kernels of categorical resolutions of nodal singularities

Warren Cattani, Franco Giovenzana, Shengxuan Liu +4

In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a $2$ or $…