The Picard group of a scheme over an Artin ring

DOI10.1007/BF02684318zbMath0436.14012MaRDI QIDQ1140687

Joseph Lipman

Publication date: 1976

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1976__46__15_0

zbMATH Keywords

Picard schemeconstruction of Picard grouplocal Artin ringPicard group of a scheme

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Picard groups (14C22) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (6)

The Greenberg functor revisited ⋮ On the perfection of schemes ⋮ Finite generation of nilpotent quotients of fundamental groups of punctured spectra ⋮ Arithmetic jet spaces ⋮ Greenberg algebras and ramified Witt vectors ⋮ On torsors under elliptic curves and Serre's pro-algebraic structures

Cites Work

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• On contravariant functors from the category of preschemes over a field into the category of Abelian groups (with an application to the Picard functor)
• Etude de la catégorie des algèbres de Hopf commutatives connexes sur un corps. (Study of the category of connected Abelian Hopf algebras over a field)
• Schemata over local rings
• Sur quelques points d'algèbre homologique

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