Rachel Newton

collaborators

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.NT2024

Transcendental Brauer groups of products of CM elliptic curves

Rachel Newton

Let $L$ be a number field and let $E / L$ be an elliptic curve with complex multiplication by the ring of integers $O_{K}$ of an imaginary quadratic field $K$ . We use class f…