Reflection maps

Author(s)

Penafort Sanchis, Guillermo

• Document type: Journal article
• Source: MATHEMATISCHE ANNALEN; v. 378, n. 1-2, p. 40-pg., 2020-07-09.

Abstract

Given a reflection group G acting on a complex vector space V, a reflection map is the composition of an embedding X -> V with the quotient map V -> C-p of G. We show how these maps, which can highly singular, may be studied in terms of the group action. We give obstructions to A-stability and A-finiteness of reflection maps and produce, in the unobstructed cases, infinite families of finitely determined map-germs of any corank. We relate these maps to conjectures of Le, Mond and Ruas. (AU)

• FAPESP's process: 16/23906-3 - Vanishing homology and multiple-point spaces of singular maps
• Grantee: Guillermo Penafort Sanchis
• Support Opportunities: Scholarships in Brazil - Post-Doctoral