Fabio Perroni

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Prof. Fabio Perroni
Research

In algebraic geometry with particular interets in the geometry and topology of complex algebraic varieties and orbifolds, moduli spaces and stacks, automorphisms.


Publications


20. On the motivic class of the moduli stack of twisted G-covers, with M. Bagnarol, SIGMA 19 (2023), 107, 31 pages arXiv:2212.14722


19. Cyclic and Abelian coverings of real varieties, with F. Catanese and M. Lönne, Math. Ann. 386 (2023), no. 3-4, 1799--1827https://doi.org/10.1007/s00208-022-02439-zarXiv:2108.03754


18. Jordan property for automorphism groups of compact spaces in Fujiki's class C, with S. Meng and D.-Q. Zhang, J. Topol. 15 (2022), no. 2, 806--814. arxiv:2011.09381


17. Smooth covers of moduli stacks of Riemann surfaces with symmetries, Bollettino dell’Unione Matematica Italiana 15, pages 333–342 (2022), https://doi.org/10.1007/s40574-021-00284-7


16. On the motive of Quot schemes of zero-dimensional quotients on a curve, with M. Bagnarol and B. Fantechi. New York J. Math. 26 (2020) 138--148


15. On Ruan's cohomological crepant resolution conjecture for the complexified Bianchi orbifolds, with A. Rahm. Algebraic & Geometric Topology 19 (2019) 2715--2762


14. Dihedral Galois covers of algebraic varieties and the simple cases, with F. Catanese. Journal of Geometry and Physics 118 (2017) 67--93


13. Genus stabilization for the components of moduli spaces of curves with symmetries, with F. Catanese and M. Lönne. Algebr. Geom. 3 (2016), no. 1, 23–49. arXiv:1301.4409


12. The irreducible components of the moduli space of dihedral covers of algebraic curves, with F. Catanese and M. Lönne. Groups Geom. Dyn. 9 (2015), no. 4, 1185–1229. arXiv:1206.5498


11. Pseudo-automorphisms of positive entropy on the blowups of products of projective spaces, with D.-Q. Zhang. Math. Ann. 359 (2014), no. 1-2, 189–209. arXiv:1111.3546


10. The fundamental group of a quotient of a product of curves, with T. Dedieu. J. Group Theory 15 (2012), no. 3, 439–453. arXiv:1003.1922


9. Automorphisms of rational manifolds of positive entropy with Siegel disks, with K. Oguiso. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 22 (2011), no. 4, 487–504. arXiv:0905.4257


8. Irreducibility of the space of dihedral covers of the projective line of a given numerical type, with F. Catanese and M. Lönne.. Atti Accad. Naz.   Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 22 (2011), no. 3, 291–309. arXiv:1102.0490


7. Computing certain Gromov-Witten invariants of the crepant resolution of P(1,3,4,4), with S. Boissière and É. Mann. Nagoya Math. J. 201 (2011), 1–22. 


6. The cohomological crepant resolution conjecture for P(1,3,4,4), with S. Boissière and É. Mann. Internat. J. Math. 20 (2009), no. 6, 791–801. arXiv:0712.3248


5. A model for the orbifold Chow ring of weighted projective spaces, with S. Boissière and É. Mann. Comm. Algebra 37 (2009), no. 2, 503–514. arXiv:0709.4559


4. A note on toric Deligne-Mumford stacks. Tohoku Math. J. (2) 60 (2008), no. 3, 441–458. arXiv:0705.3823


3. Chen-Ruan cohomology of ADE singularities. Internat. J. Math. 18 (2007), no. 9, 1009–1059. arXiv:math/0605207


2. Coomologia orbifold di singolarità ADE. Bollettino della Unione Matematica Italiana A (2006), 279–283. arXiv:math/0510528


1. Orbifold cohomology of ADE-singularities. PhD Thesis (2005), SISSA (Trieste). 

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