On singular fibers of parabolic fibrations

TL;DR

This paper characterizes the singular fibers of a specific class of parabolic fibrations where the moduli divisor is numerically trivial and the discriminant divisor is zero, providing detailed descriptions of their structure.

Contribution

It offers a detailed description of the singular fibers in parabolic fibrations under particular conditions, advancing understanding of their geometric properties.

Findings

Singular fibers are explicitly described under the given conditions.

The moduli divisor being numerically trivial influences fiber structure.

Discriminant divisor zero simplifies the classification of singular fibers.

Abstract

We describe the singular fibers of a parabolic fibration $f:X\to Y$ whose moduli divisor $M_Y$ is numerically trivial and discriminant divisor $B_Y$ is zero.