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math.NT2025
Isolated and parameterized points on curves
Bianca Viray, Isabel Vogt
We give a self-contained introduction to isolated points on curves and their counterpoint, parameterized points, that situates these concepts within the study of the arithmetic of…
math.NT2025
Number fields generated by points in linear systems on curves
Irmak Balçik, Stephanie Chan, Yuan Liu +1
We develop techniques for determining the fibers of a morphism of curves over a nonarchimedean local field . These results have applications to studying closed poi…
math.NT2025
Quartic del Pezzo surfaces without quadratic points
Brendan Creutz, Bianca Viray
Previous work of the authors showed that every quartic del Pezzo surface over a number field has index dividing (i.e., has a closed point of degree modulo ),, and asked…