A desingularization of real differentiable actions of finite groups

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We provide abelianizations of differentiable actions of finite groups on smooth real manifolds. De Concini-Procesi wonderful models for (local) subspace arrangements and a careful analysis of linear actions on real vector spaces are at the core of our construction. In fact, we show that our abelianizations have stabilizers isomorphic to elementary abelian 2-groups, a setting for which we suggest the term digitalization. As our main examples, we discuss the resulting digitalizations of the permutation actions of the symmetric group on real linear and projective spaces.
14 pages, 3 figures; substantial revision of Section 4, minor corrections elsewhere, to appear in IMRN

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Algebraic Geometry, Geometric Topology, 58A35; 57N80

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http://salesiana.dossiersoluciones.com/handle/123456789/68591

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309280
 http://arxiv.org/abs/math/0309280
 IMRN 2005:15 (2005) 881-898.

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arXiv