Reflection maps

Autor(es)

Penafort Sanchis, Guillermo

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATISCHE ANNALEN; v. 378, n. 1-2, p. 40-pg., 2020-07-09.

Resumo

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)

• Processo FAPESP: 16/23906-3 - Homologia evanescente e espaços de pontos múltiplos de aplicações singulares
• Beneficiário: Guillermo Penafort Sanchis
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado