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Pré-Publication, Document De Travail Année : 2024

FIBER CRITERIA FOR FLATNESS AND HOMOMORPHISMS OF FLAT AFFINE GROUP SCHEMES

Résumé

A very useful result concerning flatness in Algebraic Geometry is EGA's "fiber" criterion. We propose similar fiber criteria to verify flatness of a module while avoiding "finiteness" assumptions. Motivated by a Tannakian viewpoint (where the category of representations comes to the front), we derive applications to the theory of affine and flat group schemes.
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Dates et versions

hal-04405547 , version 1 (19-01-2024)

Identifiants

  • HAL Id : hal-04405547 , version 1

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Phung Ho Hai, Hop D Nguyen, Joao Pedro dos Santos. FIBER CRITERIA FOR FLATNESS AND HOMOMORPHISMS OF FLAT AFFINE GROUP SCHEMES. 2024. ⟨hal-04405547⟩
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