2 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.NT2025
Counting quadratic points on Fano varieties
Francesca Balestrieri, Kevin Destagnol, Julian Lyczak +2
This paper initiates the systematic study of the number of points of bounded height on symmetric squares of weak Fano varieties. We provide a general framework for establishing the…