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Singularities of Orbit Closures in Module Varieties and Cones Over Rational Normal Curves
Author(s) -
Zwara Grzegorz
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610706023271
Subject(s) - orbit (dynamics) , variety (cybernetics) , mathematics , codimension , closure (psychology) , gravitational singularity , point (geometry) , cone (formal languages) , mathematical analysis , pure mathematics , geometry , algorithm , engineering , statistics , economics , market economy , aerospace engineering
Let N be a point of an orbit closure ̅ M in a module variety such that its orbit N has codimension 2 in ̅ M . We show that under some additional conditions the pointed variety (̅ M , N ) is smoothly equivalent to a cone over a rational normal curve.