On invariance of plurigenera for foliated surface pairs
Jihao Liu
TL;DR
This paper proves that the plurigenera, which are important invariants in algebraic geometry, remain unchanged for certain pairs of foliated surfaces of general type, indicating stability of these invariants under specific conditions.
Contribution
It establishes the invariance of plurigenera for foliated surface pairs of general type, a result previously unknown in this context.
Findings
Proved invariance of plurigenera for specific foliated surface pairs.
Identified conditions under which plurigenera remain stable.
Contributed to understanding of invariants in foliated surface geometry.
Abstract
We prove an invariance of plurigenera for some foliated surface pairs of general type.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology