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arXiv · 2511.14395

Essential Dimension of Central Simple Algebras when the Characteristic is Bad

Adam Chapman·Kelly McKinnie
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Abstract

This is a survey of the existing literature, the state of the art, and a few minor new results and open questions regarding the essential dimension of central simple algebras and finite sequences of such algebras over fields whose characteristic divides the degree of the algebras under discussion. Upper and lower bounds as well as a few precise evaluations of this dimension are included.

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Adam Chapman, Kelly McKinnie. 2025-11-18. Essential Dimension of Central Simple Algebras when the Characteristic is Bad. https://arxiv.org/abs/2511.14395

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