activity
20062026
most citedFibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems

33 citations · 82 across the 31 of their papers we have counts for

collaborators

34 papers

math.AG2026

On Fano varieties of index one that are linear sections of Grassmannians of lines

Michele Bolognesi, Ciro Ciliberto, Alessandro Verra

In this paper we consider the general dimensional linear section of the Grassmannian of lines in , that is a Fano variety of index 1. We fi…

math.AG2024

Moduli of Cubic fourfolds and reducible OADP surfaces

Michele Bolognesi, Zakaria Brahimi, Hanine Awada

In this paper we explore the intersection of the Hassett divisor , parametrizing smooth cubic fourfolds containing a plane with other divisors .…

math.AG2023★ 1 cited

Hecke cycles on moduli of vector bundles and orbital degeneracy loci

Vladimiro Benedetti, Michele Bolognesi, Daniele Faenzi +1

Given a smooth genus two curve , the moduli space SU of rank three semi-stable vector bundles on with trivial determinant is a double cover in branched…

math.AG2023

A 9-dimensional family of K3 surfaces with finite dimensional motive

Michele Bolognesi, Robert Laterveer

Let S be a K3 surface obtained as triple cover of a quadric branched along a genus 4 curve. Using the relation with cubic fourfolds, we show that S has finite dimensional motive, i…

math.AG2023

Cox rings of blow-ups of multiprojective spaces

Michele Bolognesi, Alex Massarenti, Elena Poma

Let be the blow-up of in general points. We describe the Mori cone of for and for when .…

math.AG2023★ 1 cited

The Coble Quadric

Vladimiro Benedetti, Daniele Faenzi, Michele Bolognesi +1

Given a smooth genus three curve , the moduli space of rank two stable vector bundles on C with trivial determinant embeds in as a hypersurface whose singular loc…