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math.AG2024
Fourier-Mukai loci of K3 surfaces of Picard number one
Yuki Hirano, Genki Ouchi
In this paper, we describe the Fourier-Mukai locus of the derived category of a complex algebraic K3 surface of Picard number one. We also prove that the Fourier-Mukai locus of the…
math.AG2024
Length of triangulated categories
Yuki Hirano, Martin Kalck, Genki Ouchi
We introduce the notion of composition series of triangulated categories, which generalizes full exceptional sequences. The lengths of composition series yield invariants for trian…