Torsors under abelian schemes via Picard schemes
Rendiconti del Seminario Matematico della Università di Padova, Tome 147 (2022), pp. 79-89.
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Given a torsor P under a principally polarised abelian scheme J, projective over a Noetherian base, we use the Picard scheme of P to write down an explicit extension of ℤ by J giving the class of P. As an application, we give a version of Bhatt's period-index result valid over an arbitrary Noetherian base.

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DOI : 10.4171/rsmup/91
Classification : 14 
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     author = {Lodh, R\'emi},
     title = {Torsors under abelian schemes via {Picard} schemes},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {79--89},
     volume = {147},
     year = {2022},
     doi = {10.4171/rsmup/91},
     zbl = {07560098},
     mrnumber = {4450784},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/91/}
}
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Lodh, Rémi. Torsors under abelian schemes via Picard schemes. Rendiconti del Seminario Matematico della Università di Padova, Tome 147 (2022), pp. 79-89. doi : 10.4171/rsmup/91. http://archive.numdam.org/articles/10.4171/rsmup/91/

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