2019/07/15 by Paul Breutmann, Breutmann, Paul
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Mathematical Dynamics and Fractals #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1907.06456
openalex publication_date 2019/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Local shtukas are the function field analogs for p-divisible groups. Similar to the p-adic theory, one defines Rapoport-Zink functors and Rapoport-Zink spaces for these local shtukas. The associated Hodge-Pink structures are described uniquely by a morphism, called the period morphism of the moduli problem. We will prove the ind-representability of the Rapoport-Zink functor in a particular case and compute the corresponding Rapoport-Zink space as well as the corresponding period morphism. In this case, the period morphism is given by the Carlitz logarithm.