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Spinor class field for generalized Eichler orders

2013/09/21 by Luis Arenas-Carmona, Arenas-Carmona, Luis
Mathematics · Physics and Astronomy · #11R52-11R56-11R37 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1309.5423

openalex publication_date 2013/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the spinor class field for a genus of orders, in a central simple algebra of higher dimension, that are intersections of two maximal orders. In particular, we compute the number of spinor genera in a genus of such orders, as the degree of an explicit extension of class fields.

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