The volume of foliated surfaces with geometric genus one
Zhiming Guo, Bokai Hu, Xin Lü
math.AGarXiv:2610.19788
Abstract
We prove the sharp volume bound vol(F) 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.
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