Regular filtered (phi,N)-modules of dimension 3
Chol Park
TL;DR
This paper classifies 3-dimensional semi-stable Galois representations over Q_p with specific Hodge--Tate weights by analyzing admissible filtered (phi,N)-modules, providing a detailed understanding of their isomorphism classes.
Contribution
It offers a complete classification of regular filtered (phi,N)-modules of dimension 3 with specified Hodge type, advancing the understanding of semi-stable Galois representations.
Findings
Classification of admissible filtered (phi,N)-modules of dimension 3
Determination of isomorphism classes for given Hodge types
Insight into the structure of semi-stable Galois representations
Abstract
We classify 3-dimensional semi-stable representations of the Galois group of Q_p with coefficients and regular Hodge--Tate weights, by determining the isomorphism classes of admissible filtered (phi,N)-modules of Hodge type (0,r,s) with 0 < r < s.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology