The paper claims algebraic integrality of lattice entropy growth, but the proof has a critical gap, and the categorical entropy link is left as a conjecture.
Derived categories of coherent sheaves on abelian varieties and equivalences between them
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We study derived categories of coherent sheaves on abelian varieties. We give a criterion for the equivalence of the derived categories on two abelian varieties. We describe the autoequivalence group for the derived category of coherent sheaves of an abelian variety.
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Statistical Mechanics and Categorical Entropy
The paper claims algebraic integrality of lattice entropy growth, but the proof has a critical gap, and the categorical entropy link is left as a conjecture.