Tensor product theorem for parabolic $\lambda$-connections

TL;DR

This paper proves a tensor product theorem for slope semistable parabolic λ-connections on smooth projective varieties across all characteristics, advancing the understanding of their stability properties.

Contribution

It introduces a tensor product theorem specifically for parabolic λ-connections, extending stability results to arbitrary characteristic.

Findings

Established tensor product theorem for parabolic λ-connections

Extended stability results to arbitrary characteristic

Provides new tools for studying parabolic connections

Abstract

We establish a tensor product theorem for slope semistable parabolic $\lambda$-connections over smooth projective varieties in arbitrary characteristic.