The Bogomolov-Miyaoka-Yau inequality for stacky surfaces
Jiun-Cheng Chen, Hsian-Hua Tseng
TL;DR
This paper extends the classical Bogomolov-Miyaoka-Yau inequality to a broader class of algebraic surfaces known as Deligne-Mumford surfaces, providing new theoretical insights into their geometric properties.
Contribution
It introduces a generalized inequality applicable to stacky surfaces of general type, expanding the scope of the classical inequality.
Findings
Established a new inequality for Deligne-Mumford surfaces
Demonstrated the inequality's consistency with known cases
Provided theoretical framework for future research
Abstract
We present a generalization of the Bogomolov-Miyaoka-Yau inequality to Deligne-Mumford surfaces of general type.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows · Geometry and complex manifolds