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math.AG2024
Countability of relative Fourier-Mukai partners
Riku Kurama
Anel and Toën proved that a smooth projective complex variety has only countably many smooth projective Fourier-Mukai partners up to isomorphism. This is generalized in the Stacks…
math.AG2024
Fourier-Mukai partners of abelian varieties and K3 surfaces in positive and mixed characteristics
Riku Kurama
We study Fourier-Mukai equivalences of (families of) abelian varieties and K3 surfaces in positive and mixed characteristics. We first prove in any characteristics that Fourier-Muk…