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.AG2026
Existence of minimal del Pezzo surfaces of degree 1 with conic bundles over finite fields
Manoy T. Trip
We study minimal del Pezzo surfaces of degree 1 with a conic bundle over a finite field according to the action of the absolute Galois group on the singular fibers (…
math.NT2023
A naive p-adic height on the Jacobians of curves of genus 2
Manoy T. Trip
Consider a genus 2 curve defined over given by an affine equation of the form for some polynomial of degree 5, and let be an odd prime. Extending…