Katerina Santicola

collaborators

3 papers

math.AG2026

Refined obstructions to local-global principles for 0-cycles

Francesca Balestrieri, Anouk Greven, Rachel Newton +3

We introduce new `refined' obstructions to local-global principles for 0-cycles on algebraic varieties over number fields. Assuming finiteness of relevant Tate--Shafarevich groups,…

math.NT2026

Quartic del Pezzo surfaces over $F_{p} (t)$ without quadratic points

Giorgio Navone, Katerina Santicola, Harry C. Shaw +1

We construct an infinite family of quartic del Pezzo surfaces over $F_{p} (t)$ with no quadratic points, for all primes $p \neq = 2$ . This answers a question of Colliot--Thélène…

math.NT2024

Curves with prescribed rational points

Katerina Santicola

Given a smooth curve $C / Q$ with genus $\geq 2$ , we know by Faltings' Theorem that $C (Q)$ is finite. Here we ask the reverse question: given a finite set of ration…

Refined obstructions to local-global principles for 0-cycles

Quartic del Pezzo surfaces over Fp​(t) without quadratic points

Curves with prescribed rational points

Quartic del Pezzo surfaces over $F_{p} (t)$ without quadratic points