Work

Arithmetic of Division Fields

Year: 2011

Type: preprint

Abstract: We study the arithmetic of division fields of semistable abelian varieties A over the rationals. The Galois group of the 2-division field of A is analyzed when the conductor is odd and squarefree. The irreducible semistable mod 2 representations of small conductor are determined under GRH. These results are used in "Paramodular abelian varieties of odd conductor," arXiv:1004.4699.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1102.4557

Authors: Brumer, Armand, Kramer, Kenneth

Institutions: Fordham University, Queens College, CUNY, The Graduate Center, CUNY

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: COLLABORATIVE RESEARCH: EMSW21-RTG: JOINT COLUMBIA-CUNY-NYU RESEARCH TRAINING GROUP IN NUMBER THEORY

OpenAlex ID: W2952288986

Cites: 4

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