Fabrizio Catanese

collaborators

4 papers

math.AG2026

Genus $2$ pencils on surfaces with $p_{g} = K^{2} = 1$ , envelopes, and conics tangent to plane cubic curves

Fabrizio Catanese, Noah Ruhland

We consider $(1, 1)$ -surfaces, namely, minimal compact complex surfaces $S$ with $p_{g} (S) = K_{S}^{2} = 1$ : for these the bicanonical map is a covering of degree $4$ of the plane $\mathbb{…

math.AG2026

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.AG2025

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 $I^_{g}$ is the fundamental group of a compact complex curve of genus $g$ : (1) Theorem 2…

math.AG2025

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 $p$ such that the reduction modulo $p$ is a…

Genus 2 pencils on surfaces with pg​=K2=1, envelopes, and conics tangent to plane cubic curves

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

Irrational pencils, and characterization of Varieties isogenous to a product, via the Profinite completion of the Fundamental group

Mori dream spaces and Q-homology quadrics

Genus $2$ pencils on surfaces with $p_{g} = K^{2} = 1$ , envelopes, and conics tangent to plane cubic curves