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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2023

ON THE DESCENT FOR QUADRATIC AND BILINEAR FORMS

Résumé

This paper is devoted to the study of the descent problem in the spirit of conjectures proposed by Kahn in characteristic different from 2 [15]. Descent problem seeks conditions under which a K-form (quadratic or bilinear) is defined over F for a field extension K/F. We study this problem in a complete manner for K-quadratic and bilinear forms up to dimension 4 when F is a field of characteristic 2 and K is the function field of a projective quadric.
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Dates et versions

hal-04084290 , version 1 (27-04-2023)
hal-04084290 , version 2 (03-08-2023)

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  • HAL Id : hal-04084290 , version 1

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Ahmed Laghribi, Diksha Mukhija. ON THE DESCENT FOR QUADRATIC AND BILINEAR FORMS. 2023. ⟨hal-04084290v1⟩
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