Motivic Hall algebra geometry and moduli stack correspondences recover Auslander-Reiten sequences and the Auslander-Reiten quiver.
Class of the affine line is a zero divisor in the Grothendieck ring
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abstract
We show that the class of the affine line is a zero divisor in the Grothendieck ring of algebraic varieties over complex numbers. The argument is based on the Pfaffian-Grassmannian double mirror correspondence.
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2026 1verdicts
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Hall Geometry and Auslander-Reiten Quiver
Motivic Hall algebra geometry and moduli stack correspondences recover Auslander-Reiten sequences and the Auslander-Reiten quiver.