On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle

TL;DR

This paper explores a Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical bundles, building on recent work and assuming bounds on the delta-invariant, advancing understanding of geometric inequalities.

Contribution

It extends the Miyaoka-Yau inequality to a broader class of manifolds with nef anti-canonical bundles under delta-invariant bounds, providing new insights.

Findings

Established a Miyaoka-Yau type inequality for manifolds with nef anti-canonical bundle

Connected delta-invariant bounds to geometric inequalities

Built upon recent developments by K. Zhang, Fujita, and Odaka

Abstract

Based on the recent work of K.~Zhang, we discuss the Miyaoka-Yau type inequality for projective manifolds with nef anti-canonical line bundle, assuming the lower bound of the delta-invariant introduced by Fujita and Odaka.