Wonderful blowups associated to group actions |
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| Authors: | L A Borisov P E Gunnells |
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| Institution: | Department of Mathematics, Columbia University, New York, NY 10027, USA,? e-mail: lborisov@math.columbia.edu, US
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA,? e-mail: gunnells@math.umass.edu, US
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| Abstract: | 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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| Keywords: | , Wonderful blowups, finite group action, stabilizer subgroup, |
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