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
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…
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 (…