Andrea Di Lorenzo

collaborators

4 papers

math.AG2025

Cohomological invariants of $M_{3, n}$ via level structures

Andrea Di Lorenzo

We show that mod $2$ cohomological invariants of the moduli stack $M_{3, n}$ of smooth pointed curves of genus three contain a free module with generators in degree $0$ , $…

math.AG2020

Cohomological invariants of root stacks and admissible double coverings

Andrea Di Lorenzo, Roberto Pirisi

We give a formula for the cohomological invariants of a root stack, which we apply to compute the cohomological invariants and the Brauer group of the stack of admissible double co…

math.AG2020

The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three

Andrea Di Lorenzo, Damiano Fulghesu, Angelo Vistoli

We compute the integral Chow ring of the stack of smooth, non-hyperelliptic curves of genus three. We obtain this result by computing the integral Chow ring of the stack of smooth…

math.AG2020

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

Andrea Di Lorenzo, Roberto Pirisi

We compute the Brauer group of the moduli stack of hyperelliptic curves $H_{g}$ over any field of characteristic zero. In positive characteristic, we compute the part of th…

Cohomological invariants of M3,n​ via level structures

Cohomological invariants of root stacks and admissible double coverings

The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

Cohomological invariants of $M_{3, n}$ via level structures