On the behavior of Kodaira dimension under smooth morphisms

2022/02/06 by Mihnea Popa, Popa, Mihnea, Christian Schnell +1
Mathematics · #14D06 14J10 #14D07 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2202.02825

openalex publication_date 2022/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove several results on the additivity of Kodaira dimension under smooth morphisms of smooth projective varieties.

Related

• On the Kodaira dimension
• Conjectures on the Kodaira dimension
• On subadditivity of Kodaira dimension in positive characteristic
• Estimates on the Kodaira dimension for fibrations over abelian varieties
• Varieties with pseudoeffective canonical divisor and their Kodaira dimension