TL;DR
This paper surveys results on the existence of closed points on schemes, providing an elementary topological characterization of schemes that have at least one closed point.
Contribution
It offers a concise survey and an elementary topological criterion for the existence of closed points on schemes.
Findings
Characterization of schemes with closed points
Elementary topological conditions for closed points
Summary of key results in the area
Abstract
This brief note gives a survey on results relating to existence of closed points on schemes, including an elementary topological characterization of the schemes with (at least one) closed point.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications