Białynicki-Birula decomposition

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Noun

Białynicki-Birula decomposition (plural Białynicki-Birula decompositions)

  1. (algebraic geometry) A T-stable cellular decomposition of a smooth T-variety.
    • 1984, Pacific Journal of Mathematics, volumes 114-115, page 149:
      The description depends on a partial ordering of the fixed point components which arises from the Białynicki-Birula decompositions of X.
    • 1988, Mathematica Scandinavica, volume 62, page 5:
      Section 2 describes a C*-action on Grassmann manifolds and gives the corresponding Białynicki-Birula decomposition.