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19992026
most citedJordan property for automorphism groups of compact spaces in Fujiki's class

14 citations · 91 across the 20 of their papers we have counts for

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22 papers

math.AG2026

Equivariant Cohomological Crepant Resolution Conjecture for ADE-orbifolds

Qike Li, Fabio Perroni

Let G be a non-trivial finite subgroup of SL_2(C) and let p : X \to C^2/G be the minimal resolution. We prove the C^*-equivariant Cohomological Crepant Resolution Conjecture for th…

math.AG2025

Genus stabilization for the homology of moduli spaces of orbit-framed curves with symmetries-I

Fabrizio Catanese, Michael Loenne, Fabio Perroni

In a previous paper, arXiv:1301.4409, we showed that the moduli space of curves C with a G-symmetry (that is, with a faithful action of a finite group G), having a fixed generalize…

math.AG2022

On the Motivic Class of the Moduli Stack of Twisted -Covers

Massimo Bagnarol, Fabio Perroni

We describe the class, in the Grothendieck group of stacks, of the stack of twisted -covers of genus curves, in terms of the loci corresponding to covers over smooth bases.

math.AG2021

Cyclic and Abelian coverings of real varieties

Fabrizio Catanese, Michael Loenne, Fabio Perroni

We describe the birational and the biregular theory of cyclic and Abelian coverings between real varieties.

math.AG2021★ 2 cited

Smooth covers of moduli stacks of Riemann surfaces with symmetry

Fabio Perroni

We construct explicitly a finite cover of the moduli stack of compact Riemann surfaces with a given group of symmetries by a smooth quasi-projective variety.

math.AG2020★ 14 cited

Jordan property for automorphism groups of compact spaces in Fujiki's class

Sheng Meng, Fabio Perroni, De-Qi Zhang

Let be a compact complex space in Fujiki's Class . We show that the group of all biholomorphic automorphisms of has the Jordan property: there is a (Jordan) con…