14 citations · 18 across the 9 of their papers we have counts for
11 papers
The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings
Luca Battistella, Andrea Di Lorenzo, Michele Pernice
We classify all open substacks admitting a proper good moduli space inside the stack of log-canonically polarized Gorenstein curves of genus one with distin…
Cohomological invariants of via level structures
Andrea Di Lorenzo
We show that mod cohomological invariants of the moduli stack of smooth pointed curves of genus three contain a free module with generators in degree , $…
Degenerations of twisted maps to algebraic stacks
Andrea Di Lorenzo, Giovanni Inchiostro
We give a definition of twisted map to a quotient stack with projective good moduli space, and we show that the resulting functor satisfies the existence part of the valuative crit…
Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic
Andrea Di Lorenzo, Roberto Pirisi
We introduce a theory of cohomological invariants with mod coefficients for algebraic stacks in characteristic . Using these new tools we complete the computation of the B…
The integral Chow rings of moduli of Weierstrass fibrations
Samir Canning, Andrea Di Lorenzo, Giovanni Inchiostro
We compute the Chow rings with integral coefficients of moduli stacks of minimal Weierstrass fibrations over the projective line. For each integer , there is a moduli stac…
Stable cuspidal curves and the integral Chow ring of
Andrea Di Lorenzo, Michele Pernice, Angelo Vistoli
In this paper we introduce the moduli stack of -marked stable at most cuspidal curves of genus and we use it to determine the integral Chow r…
Equivariant Chow-Witt groups and moduli stacks of elliptic curves
Andrea Di Lorenzo, Lorenzo Mantovani
We introduce equivariant Chow-Witt groups in order to define Chow-Witt groups of quotient stacks. We compute the Chow-Witt ring of the moduli stack of stable (resp. smooth) ellipti…
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…
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…
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 over any field of characteristic zero. In positive characteristic, we compute the part of th…
Integral Picard group of some stacks of polarized K3 surfaces of low degree
Andrea Di Lorenzo
We compute the integral Picard group of the stack of polarized K3 surfaces with at most rational double points of degree . We show that in this range t…