Punctual noncommutative Hilbert schemes

Published 29 Oct 2025 in math.AG, math.CO, math.RA, and math.RT | (2510.25940v1)

Abstract: Punctual noncommutative Hilbert schemes are projective varieties parametrizing finite codimensional left ideals in noncommutative formal power series rings. We determine their motives and intersection cohomology, by constructing affine pavings and small resolutions of singularities.

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Markus Reineke

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