Given a torsor under a principally polarised abelian scheme , projective over a Noetherian base, we use the Picard scheme of to write down an explicit extension of by giving the class of . As an application, we give a version of Bhatt's period-index result valid over an arbitrary Noetherian base.
Cite this article
Rémi Lodh, Torsors under abelian schemes via Picard schemes. Rend. Sem. Mat. Univ. Padova 147 (2022), pp. 79–89DOI 10.4171/RSMUP/91