Derived categories of coherent sheaves on abelian varieties and equivalences between them

Dmitri Orlov

Derived categories of coherent sheaves on abelian varieties and equivalences between them

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arxiv alg-geom/9712017 v4 pith:AFSJKP72 submitted 1997-12-16 alg-geom math.AG

Dmitri Orlov This is my paper · ORCID

classification alg-geommath.AG

keywords abelianderivedcategoriescoherentsheavesvarietiesautoequivalencecategory

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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
cond-mat.stat-mech 2025-05 reject novelty 4.0 of 10

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.

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