Kodaira dimension of algebraic fiber spaces over surfaces
Junyan Cao
TL;DR
This paper proves the Iitaka C_nm conjecture for algebraic fiber spaces over surfaces, advancing understanding of the Kodaira dimension in algebraic geometry.
Contribution
It establishes the conjecture specifically for fiber spaces over surfaces, providing a significant case in the broader conjecture.
Findings
Proves the Iitaka C_nm conjecture for fiber spaces over surfaces
Advances the understanding of Kodaira dimension in algebraic geometry
Provides a key step towards the general conjecture
Abstract
In this short note we prove the Iitaka C_nm conjecture for algebraic fiber spaces over surfaces
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry