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Integral Chow rings of modular compactifications of
Luca Battistella, Andrea Di Lorenzo
For , we compute the integral Chow ring of every modular compactification of parametrising only Gorenstein curves with smooth, distinct markings. These…
Intersection theory on moduli of smooth complete intersections
Andrea Di Lorenzo
We provide a general method for computing rational Chow rings of moduli of smooth complete intersections. We specialize this result in different ways: to compute the integral Picar…
Polarized twisted conics and moduli of stable curves of genus two
Andrea Di Lorenzo, Angelo Vistoli
In this paper we introduce the stack of polarized twisted conics and we use it to give a new point of view on . In particular, we present a new and indepe…
A complete description of the cohomological invariants of even genus hyperelliptic curves
Andrea Di Lorenzo, Roberto Pirisi
When the genus is even, we extend the computation of mod 2 cohomological invariants of to non algebraically closed fields, we give an explicit functorial descri…
Picard group of moduli of curves of low genus in positive characteristic
Andrea Di Lorenzo
We compute the Picard group of the moduli stack of smooth curves of genus for , using methods of equivariant intersection theory. We base our proof on the comput…
Cohomological invariants of the stack of hyperelliptic curves of odd genus
Andrea Di Lorenzo
We compute the cohomological invariants of , the moduli stack of smooth hyperelliptic curves, for every odd .