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Hall algebras associated to triangulated categories

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abstract

By counting with triangles and the octohedral axiom, we find a direct way to prove the formula of To\"en in \cite{Toen2005} for a triangulated category with (left) homological-finite condition.

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math.AG 1

years

2026 1

verdicts

UNVERDICTED 1

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Hall Geometry and Auslander-Reiten Quiver

math.AG · 2026-06-25 · unverdicted · novelty 4.0

Motivic Hall algebra geometry and moduli stack correspondences recover Auslander-Reiten sequences and the Auslander-Reiten quiver.

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  • Hall Geometry and Auslander-Reiten Quiver math.AG · 2026-06-25 · unverdicted · none · ref 16 · internal anchor

    Motivic Hall algebra geometry and moduli stack correspondences recover Auslander-Reiten sequences and the Auslander-Reiten quiver.