Some singular curves and surfaces arising from invariants of complex reflection groups

TL;DR

This paper constructs highly singular projective curves and surfaces using invariants from primitive complex reflection groups, revealing new geometric structures related to these algebraic objects.

Contribution

It introduces a method to generate singular algebraic varieties from invariants of complex reflection groups, expanding understanding of their geometric properties.

Findings

Construction of new singular curves and surfaces

Identification of invariants leading to singularities

Enhanced understanding of reflection group invariants

Abstract

We construct highly singular projective curves and surfaces defined by invariants of primitive complex reflection groups.