Ulrich Sheaves on the Hilbert Square of K3 and Abelian Surfaces

Anindya Mukherjee; Pabitra Barik

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arXiv · 2602.01218

Ulrich Sheaves on the Hilbert Square of K3 and Abelian Surfaces

Anindya Mukherjee·Pabitra Barik

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Abstract

We prove the existence of Ulrich sheaves on the Hilbert scheme of two points on a polarized K3 surface or an abelian surface. The construction proceeds by descending Ulrich bundles on the surface to the symmetric square and lifting them to the Hilbert square via the crepant Hilbert--Chow resolution. Finally, we estimate a bound for Ulrich complexity of the Hilbert Square.

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BibTeX RIS

Anindya Mukherjee, Pabitra Barik. 2026-02-01. Ulrich Sheaves on the Hilbert Square of K3 and Abelian Surfaces. https://arxiv.org/abs/2602.01218

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