Primitive forms for Gepner singularities

TL;DR

This paper constructs Saito primitive forms for Gepner singularities by linking them to primitive forms of symmetric invariant singularities, advancing understanding in singularity theory.

Contribution

It introduces a novel method to derive primitive forms for Gepner singularities using symmetric invariant singularities, bridging two areas in singularity theory.

Findings

Established a relation between Saito primitive forms and symmetric invariant singularities.

Provided explicit constructions of primitive forms for Gepner singularities.

Enhanced the theoretical framework connecting different classes of singularities.

Abstract

We provide a construction of Saito primitive forms for Gepner singularity by studying the relation between Saito primitive forms for Gepner singularities and primitive forms for singularities of the form $F_{k,n}=\sum_{i=1}^n x_i^k$ invariant under the natural $S_n$-action.