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New examples of non-Fourier-Mukai functors

2019/12/07 by Theo Raedschelders, Raedschelders, Theo, Alice Rizzardo +3
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1912.03555

openalex publication_date 2019/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that any smooth projective variety of dimension ≥ 3 equipped with a tilting bundle can serve as the source variety of a non-Fourier-Mukai functor between smooth projective schemes.

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