Federico Scavia

collaborators

3 papers

math.AG2026

A counterexample to a conjecture of Duncan on versal actions

Federico Scavia

We disprove a conjecture of Duncan asserting that versality of a faithful finite group action can be detected on Sylow subgroups. Our counterexample is an action of $(C_7\rtimes C_…

math.AG2026

Zero-cycles on surfaces dominated by products of hyperelliptic curves

Jean-Louis Colliot-ThÃ©lÃ¨ne, Federico Scavia, Alexei Skorobogatov

Conditionally on the finiteness of the relevant Tate-Shafarevich groups, we prove a local-to-global result for zero-cycles of degree $1$ on the surfaces given by $y^2 = f_1(x_1)f_2…

math.AG2025

Let $R$ be the field of real Puiseux series. It is a real closed field. We construct the first examples of smooth intersections of two quadrics in $P_{R}^{5}$ and smooth cubic…

A counterexample to a conjecture of Duncan on versal actions

Zero-cycles on surfaces dominated by products of hyperelliptic curves

VariÃ©tÃ©s rÃ©elles connexes non stablement rationnelles