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arXiv · 2510.25940

Punctual noncommutative Hilbert schemes

Markus Reineke
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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. 2025-10-29. Punctual noncommutative Hilbert schemes. https://arxiv.org/abs/2510.25940

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