Year: 2026
Type: preprint
Abstract: We prove the sharp volume bound $\mathrm{vol}(\mathcal{F})\ge 1/6$ for complex foliated surfaces of general type with positive geometric genus. We also study the equality case and apply the bound to the algebraic integrability and finiteness of small volumes on irregular surfaces.
Source: arXiv (Cornell University)
Authors: Guo, Zhiming, Hu, Bokai, Lü, Xin
Institutions: East China Normal University, Fudan University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1609915050, G7270659173
OpenAlex ID: W7222022734