Remarks on algebraic fiber spaces

2002/10/11 by Osamu Fujino, Fujino, Osamu · 1 citation
Mathematics · #14J10 #14J40 #14K12 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14J10 #msc:14J40 #msc:14K12

paper · pdf · doi:10.48550/arxiv.math/0210166

17 pages

arxiv created 2002/10/11 · openalex publication_date 2002/10/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we collect basic properties of the Albanese dimension and explain how to generalize the main theorem of [F2](math.AG/0204262). This paper is a supplement and a generalization of [F2]. We also prove an inequality of irregularities for algebraic fiber spaces in the appendix, which is an exposition of Fujita-Kawamata's semi-positivity theorem.

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