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arXiv · 2504.06723

5-dimensional minimal quadratic and bilinear forms over function fields of conics

Adam Chapman·Ahmed Laghribi
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Abstract

Over a field of characteristic 2, we give a complete classification of quadratic and bilinear forms of dimension 5 that are minimal over the function field of an arbitrary conic. This completes the unique known case due to Faivre concerning the classification of minimal quadratic forms of dimension 5 and type (2,1) over function fields of nonsingular conics.

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Adam Chapman, Ahmed Laghribi. 2025-04-09. 5-dimensional minimal quadratic and bilinear forms over function fields of conics. https://arxiv.org/abs/2504.06723

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