Harry C. Shaw

collaborators

2 papers

math.NT2026

Stability of the Kato-Kuzumaki's properties under field extensions

Felipe Gambardella, Harry C. Shaw

In 1986, Kato and Kuzumaki introduced some Diophantine properties of fields, called the $C_{i}^{q}$ properties, and they hoped they would provide a good characterization of the cohomol…

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--ThÃ©lÃ¨…

Stability of the Kato-Kuzumaki's properties under field extensions

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

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