Unibranch local ring

id: unibranch-local-ring-268-11878948
title: Unibranch local ring
text: In algebraic geometry, a local ring A is said to be unibranch if the reduced ring Ared is an integral domain, and the integral closure B of Ared is also a local ring. A unibranch local ring is said to be geometrically unibranch if the residue field of B is a purely inseparable extension of the residue field of Ared. A complex variety X is called topologically unibranch at a point x if for all complements Y of closed algebraic subsets of X there is a fundamental system of neighborhoods of x whose
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original url: https://en.wikipedia.org/wiki/Unibranch_local_ring
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date modified: 2023-08-12T22:40:07Z
main entity: {"identifier":"Q7884695","url":"https://www.wikidata.org/entity/Q7884695"}
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