Residue formula for Morita-Futaki-Bott invariant on orbifolds

TL;DR

This paper establishes a residue formula for the Morita-Futaki-Bott invariant on orbifolds, linking it to Grothendieck's residues for holomorphic vector fields with isolated singularities.

Contribution

It introduces a residue formula for the Morita-Futaki-Bott invariant on orbifolds, extending previous results to cases with degenerated singularities.

Findings

Residue formula expressed in terms of Grothendieck's residues.

Applicable to holomorphic vector fields with isolated, possibly degenerated, singularities.

Provides a new computational tool for invariants on orbifolds.

Abstract

In this work we prove a residue formula for Morita-Futaki-Bott invariant with respect any holomorphic vector fields with isolated (possibly degenerated) singularities in terms of Grothendieck's residues.