X. Roulleau

activity

20082025

most citedNegative curves on algebraic surfaces

53 citations · 120 across the 41 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.AG2012

On the Tate conjecture for the Fano surfaces of cubic threefolds

Xavier Roulleau

A Fano surface of a smooth cubic threefold X in P^4 parametrizes the lines on X. In this note, we prove that a Fano surface satisfies the Tate conjecture over a field of finite typ…

math.AG2012★ 10 cited

On the hyperbolicity of surfaces of general type with small $c_{1}^{2}$

Xavier Roulleau, Erwan Rousseau

Surfaces of general type with positive second Segre number $s_{2} := c_{1}^{2} - c_{2} > 0$ are known by results of Bogomolov to be quasi-hyperbolic i.e. with finitely many rational and elliptic…

math.AG2012★ 2 cited

Automorphisms and quotients of quaternionic fake quadrics

Amir Dzambic, Xavier Roulleau

A fake quadric is a smooth minimal surface of general type with the same invariants as the quadric in P^3, i.e. K^2=2c_2=8 and q=p_g=0. We study here quaternionic fake quadrics i.e…

On the Tate conjecture for the Fano surfaces of cubic threefolds

On the hyperbolicity of surfaces of general type with small c12​

Automorphisms and quotients of quaternionic fake quadrics

On the hyperbolicity of surfaces of general type with small $c_{1}^{2}$