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Given an algebraic variety with Picard scheme , if the connected component is a smooth scheme then the completion of at its neutral global point is a formal group. This is called the formal Picard group of . (ArtinMazur 77, Liedtke 14, example 6.13)
This construction is the special case of the general construction of Artin-Mazur formal groups for (see also this Remark at elliptic spectrum). The next case is called the formal Brauer group.
moduli spaces of line n-bundles with connection on -dimensional
The original account of the construction of formal Picard groups is
Modern reviews include
Last revised on November 16, 2020 at 16:53:14. See the history of this page for a list of all contributions to it.