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Cox rings and algebraic maps

2017/03/31 by Tomasz Mańdziuk
Mathematics · #Algebraic Geometry and Number Theory #Algebraic number #Algebraic structures and combinatorial models #Class (philosophy) #Combinatorics #Geometry #Homotopy and Cohomology in Algebraic Topology #Image (mathematics) #Inverse #Mathematical analysis #Mathematics #Morphism #Pure mathematics #Space (punctuation) #math.AG #msc:14A10 #msc:14C20 #msc:14L30

paper · pdf · doi:10.1002/mana.201700125

published in Mathematische Nachrichten 292(2), 389-401 (Wiley) · Final version published in Mathematische Nachrichten

openalex publication_date 2018/09/20 · arxiv created 2021/11/29 · arxiv updated 2021/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Abstract Given a morphism from a Mori Dream Space X to a smooth Mori Dream Space Y and quasicoherent sheaves on X and on Y , we describe the inverse image of by F and the direct image of by F in terms of the corresponding modules over the Cox rings graded in the class groups.

Citations