A Bott type residue formula on complex orbifolds

TL;DR

This paper establishes residue formulas for vector fields on compact complex orbifolds with isolated singularities and explores their applications, particularly on weighted projective spaces.

Contribution

It introduces new residual formulas applicable to complex orbifolds with singularities, expanding the theoretical framework for such geometric structures.

Findings

Derived residue formulas for vector fields on orbifolds

Applied formulas to weighted projective spaces

Enhanced understanding of orbifold singularities

Abstract

We prove residual formulas for vector fields defined on compact complex orbifolds with isolated singularities and give some applications of these on weighted projective spaces.