K-trivial structures on Fano complete intersections

2011/10/10 by Александр Валентинович Пухликов, Aleksandr Pukhlikov, Pukhlikov, Aleksandr
Mathematics · #14E05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14E05

paper · pdf · doi:10.48550/arxiv.1110.2048

8 pages

arxiv created 2011/10/10 · openalex publication_date 2011/10/10 · arxiv updated 2011/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proven that any structure of a fibre space into varieties of Kodaira dimension zero on a generic Fano complete intersection of index one and dimension M in \mathbb P^M+k for M≥ 2k+1 is a pencil of hyperplane sections. We also describe K-trivial structures on varieties with a pencil of Fano complete intersections.

Related

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