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The PU(2,1) configuration space of four points in S 3 and the cross-ratio variety

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Abstract

The configuration space of four points on the standard CR 3-sphere up to CR-automorphisms is a real four dimensional variety. We prove the existence of natural complex and CR structures on this space.

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Author information

Authors and Affiliations

  1. Institut de Mathématiques, 175 rue du chevaleret, 75013, Paris, France

    Elisha Falbel

  2. Department of Mathematics, Aristotle University of Salonica, Salonika, Greece

    Ioannis D. Platis

Authors
  1. Elisha Falbel
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  2. Ioannis D. Platis
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Corresponding author

Correspondence to Elisha Falbel.

Additional information

I. D. Platis was supported by a Marie Curie Reintegration Grant fellowship (contract no. MEIF-CT-2005-028371) within the 6th Community Framework Programme.

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Falbel, E., Platis, I.D. The PU(2,1) configuration space of four points in S 3 and the cross-ratio variety. Math. Ann. 340, 935–962 (2008). https://doi.org/10.1007/s00208-007-0177-0

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  • DOI: https://doi.org/10.1007/s00208-007-0177-0

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