Projective Completion of Moduli of t-Connections on Curves in Positive and Mixed Characteristic

2021/04/25 by Mark Andrea A. de Cataldo, Siqing Zhang, de Cataldo, Mark Andrea A. +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2104.12209

openalex publication_date 2021/04/25 · openalex created_date 2022/08/21 · openalex updated_date 2026/07/28

Abstract

We generalize a compactification technique due to C. Simpson in the context of \mathbbG_m-actions over the ground field of complex numbers, to the case of a universally Japanese base ring. We complement this generalized compactification technique so that it can sometimes yield projectivity results for these compactifications. We apply these projectivity results to the Hodge, de Rham, and Dolbeault moduli spaces for curves, with special regards to ground fields of positive characteristic.

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