Mukai pairs and simple K-equivalence

2018/12/13 by Akihiro Kanemitsu, Kanemitsu, Akihiro · 4 citations
Mathematics · #14E05 #14E30 #14J45 #14J60 #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.1812.05392

openalex publication_date 2018/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A K-equivalent map between two smooth projective varieties is called simple if the map is resolved in both sides by single smooth blow-ups. In this paper, we will provide a structure theorem of simple K-equivalent maps, which reduces the study of such maps to that of special Fano manifolds. As applications of the structure theorem, we provide examples of simple K-equivalent maps, and classify such maps in several cases, including the case of dimension at most 8.

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