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Notes on schematic finite spaces

2021/02/18 by Fernando Sancho, Sancho, Fernando, Pedro Sancho +1 · 1 citation
Engineering · Mathematics · #06XX #13XX #14XX #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Electronic engineering #Engineering #FOS: Mathematics #Geography #Mathematics #Morphism #Natural (archaeology) #Pure mathematics #Schematic #math.AG #msc:06XX #msc:13XX #msc:14XX

paper · pdf · doi:10.48550/arxiv.2102.09263

published in arXiv (Cornell University) (Cornell University) · 73 pages

arxiv created 2021/02/18 · openalex publication_date 2021/02/18 · arxiv updated 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The schematic finite spaces are those finite ringed spaces where a theory of quasi-coherent modules can be developed with minimal natural conditions. We give various characterizations of these spaces and their natural morphisms. We show that schematic finite spaces are strongly related to quasi-compact quasi-separated schemes.

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