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A 1-dimensional formal group over the prismatization of Spf Z_p

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arxiv 2107.11466 v5 pith:QUPDT2QC submitted 2021-07-23 math.AG math.ATmath.KTmath.NT

classification math.AGmath.ATmath.KTmath.NT
keywords groupformalmultiplicativeprismatizationsigmadimensionalsomeaction
verification ladder T0 review T1 audit T2 compute T3 formal
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Let Sigma denote the prismatization of Spf (Z_p). The multiplicative group over Sigma maps to the prismatization of the multiplicative group over Spf (Z_p). We prove that the kernel of this map is the Cartier dual of some 1-dimensional formal group over Sigma. We obtain some results about this formal group (e.g., we describe its Lie algebra). We give a very explicit description of the pullback of the formal group to the quotient of the q-de Rham prism by the action of the multiplicative group of Z_p.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On a complex topological orientation for circle-equivariant K-theory

    math.KT 2025-05 reject novelty 4.0 of 10

    The paper attempts to define a T-equivariant complex orientation for K-theory via a formal group law, but the proof has a load-bearing algebraic sign error.

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