Abstract
Let k be an algebraically closed field of characteristic \(p > 3\) and S be a smooth projective surface over k with k-rational point x. For \(n \ge 2\), let \(S^{[n]}\) denote the Hilbert scheme of n points on S. In this note, we compute the fundamental group scheme \(\pi ^{\text {alg}}(S^{[n]}, {\tilde{nx}})\) defined by the Tannakian category of stratified bundles on \(S^{[n]}\).
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We would like to thank Indranil Biswas and Ronnie Sebastian for their comments on earlier drafts of this paper.
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Communicated by Indranil Biswas.
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Holme Choudhury, S. Stratified bundles on the Hilbert Scheme of n points. Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00576-6
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DOI: https://doi.org/10.1007/s13226-024-00576-6