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Cartier's first theorem for Witt vectors on Z>= 0n - 0

2012/11/05 by Kirsten Wickelgren, Wickelgren, Kirsten
Mathematics · #13F35 #19D55 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.AT #math.KT #math.NT #msc:13F35 #msc:19D55

paper · pdf · doi:10.48550/arxiv.1211.1004

Corrected an error in the previous version of the main theorem, which is now stated in terms of the dual of the Witt vectors. The original statement holds under the additional hypothesis that we are working over a Q-algebra. To appear in Algebraic Topology: Applications and New Directions, Proceedings of the Stanford Symposium 2012. 7 pages, AIM preprint number AIM 2012-80

openalex publication_date 2012/11/05 · arxiv created 2013/12/11 · arxiv updated 2013/12/12 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We show that the dual of the Witt vectors on Z≥ 0n - 0 as defined by Angeltveit, Gerhardt, Hill, and Lindenstrauss represent the functor taking a commutative formal group G to the maps of formal schemes Ahatn -> G, and that the Witt vectors are self-dual for Q-algebras or when n=1.

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