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Double points and image of reflection maps
Published online by Cambridge University Press: 11 December 2025
Abstract
A reflection mapping is a singular holomorphic mapping obtained by restricting the quotient mapping of a complex reflection group. We study the analytic structure of double point spaces of reflection mappings. In the case where the image is a hypersurface, we obtain explicit equations for the double point space and for the image as well. In the case of surfaces in 
${\mathbb C}^3$, this gives a very efficient method to compute the Milnor number and delta invariant of the double point curve.
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- © The Author(s), 2025. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
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