Katerina Santicola

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20222026

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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…

math.NT2022

Reverse Engineered Diophantine Equations over $Q$

Katerina Santicola

Let $P_{Q} = {α^{n} : α \in Q, n \geq 2}$ be the set of rational perfect powers, and let $S \subseteq P_{Q}$ be a finite subset. We…

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

Curves with prescribed rational points

Reverse Engineered Diophantine Equations over Q

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

Reverse Engineered Diophantine Equations over $Q$