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Symplectic resolution of orbifolds with homogeneous isotropy

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Abstract

We construct the symplectic resolution of a symplectic orbifold whose isotropy locus consists of disjoint submanifolds with homogeneous isotropy, that is, all its points have the same isotropy groups.

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Acknowledgements

We are grateful to Fran Presas for useful conversations. We thank the referee for carefully reading the manuscript and giving us suggestions. The authors were partially supported by Project MINECO (Spain) MTM2015-63612-P. The second author acknowledges financial support by the International PhD program La Caixa-Severo Ochoa.

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Authors and Affiliations

  1. Departamento de Algebra, Geometría y Topología, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Vicente Muñoz

  2. Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, Spain

    Juan Angel Rojo

  3. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/ Nicolás Cabrera 15, 28049, Madrid, Spain

    Juan Angel Rojo

Authors
  1. Vicente Muñoz
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  2. Juan Angel Rojo
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Correspondence to Vicente Muñoz.

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Muñoz, V., Rojo, J.A. Symplectic resolution of orbifolds with homogeneous isotropy. Geom Dedicata 204, 339–363 (2020). https://doi.org/10.1007/s10711-019-00459-9

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