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Irrational pencils, and characterization of Varieties isogenous to a product, via the Profinite completion of the Fundamental group
Fabrizio Catanese, appendix by Pavel Zalesskii
We give a very short proof of two Theorems, whose content is outlined in the title, and where is the fundamental group of a compact complex curve of genus : (1) Theorem 2.…
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…
Mori dream spaces and Q-homology quadrics
Paolo Cascini, Fabrizio Catanese, Yifan Chen +1
We show that Shavel type surfaces are fake quadrics of even type which are not Mori dream surfaces, yet there are infinitely many primes such that the reduction modulo is a…