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CENTRAL ALGEBRAIC GEOMETRY AND SEMINORMALITY

Abstract : 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03169240
Contributor : Jean-Philippe Monnier Connect in order to contact the contributor
Submitted on : Monday, March 15, 2021 - 11:06:04 AM
Last modification on : Wednesday, October 20, 2021 - 3:19:02 AM
Long-term archiving on: : Wednesday, June 16, 2021 - 6:33:23 PM

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  • HAL Id : hal-03169240, version 1
  • ARXIV : 2103.09610

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

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