Mok tensors and Orbifold Quotients of Bounded symmetric domains without ball factors

TL;DR

This paper characterizes certain compact orbifolds derived from bounded symmetric domains, identifying conditions involving Mok curvature tensors and ample canonical divisors that determine their geometric structure and coverings.

Contribution

It provides a new characterization of orbifolds from bounded symmetric domains without ball factors using Mok tensors and orbifold canonical divisors.

Findings

Orbifolds with ample canonical divisor admit Mok curvature tensors.

Characterization of orbifolds via curvature and divisor conditions.

Existence of finite smooth coverings for these orbifolds.

Abstract

In this paper we characterize the compact orbifolds, quotients $ X = \mathcal{D}/ \Gamma$ of a bounded symmetric domain $\mathcal{D}$ with no higher dimensional ball factor by the action of a discontinuous group $\Gamma$, as those projective orbifolds with ample orbifold canonical divisor which admit a Mok curvature type tensor of orbifold type and satisfying certain other conditions implying the existence of a finite smooth covering.