Torsors under abelian schemes via Picard schemes

  • Rémi Lodh

    Springer-Verlag, Heidelberg, Germany
Torsors under abelian schemes via Picard schemes cover

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Abstract

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. 79–89

DOI 10.4171/RSMUP/91