Séminaire Géométries ICJ

Period index questions for hyperelliptic curve

par Jaya Iyer (Chennai Mathematical Institute)

→ Europe/Paris
112 (ICJ)

112

ICJ

1er étage bâtiment Braconnier, Université Claude Bernard Lyon 1 - La Doua
Description

We will discuss period index questions for the 2-torsion Brauer element of smooth hyperelliptic curves over global fields k, char(k)=0. Under local triviality condition, we prove period equals index. The method also extends to prove finiteness of u-invariant of k(x). This is joint work with R. Parimala.