Wonderful blowups associated to group actions

Details Wonderful blowups associated to group actions Wonderful blowups associated to group actions

2000-09-06

arxiv.org/abs/math/0009051v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

A group action on a smooth variety provides it with the natural
stratification by irreducible components of the fixed point sets of arbitrary
subgroups. We show that the corresponding maximal wonderful blowup in the sense
of MacPherson-Procesi has only abelian stabilizers. The result is inspired by
the abelianization algorithm of Batyrev.

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