Smooth components on special iterated Hilbert schemes
Let $S$ be a smooth projective surface with $p_g=q=0$. We show how to use derived categorical methods to study the geometry of certain special iterated Hilbert schemes associated to $S$ by showing that they contain a smooth connected component isomorphic to $S$.
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| Veröffentlicht in: | Comptes rendus. Mathématique 2022-01, Vol.360 (G5), p.425-429 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let $S$ be a smooth projective surface with $p_g=q=0$. We show how to use derived categorical methods to study the geometry of certain special iterated Hilbert schemes associated to $S$ by showing that they contain a smooth connected component isomorphic to $S$. |
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| ISSN: | 1778-3569 1778-3569 |
| DOI: | 10.5802/crmath.307 |