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Pré-Publication, Document De Travail Année : 2021

CENTRAL ALGEBRAIC GEOMETRY AND SEMINORMALITY

Résumé

We develop the theory of central ideals on commutative rings. We introduce and study the central seminormalization of a ring in another one. This seminormalization is related to the theory of regulous functions on real algebraic varieties. We provide a construction of the central seminormalization by a decomposition theorem in elementary central gluings. The existence of a central seminormalization is established in the affine case and for real schemes.
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hal-03169240 , version 1 (15-03-2021)

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Jean-Philippe Monnier. CENTRAL ALGEBRAIC GEOMETRY AND SEMINORMALITY. 2021. ⟨hal-03169240⟩
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