Smooth components on special iterated Hilbert schemes

Reede, Fabian

Comptes Rendus. Mathématique, Tome 360 (2022) no. G5, pp. 425-429.

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 $S$.

Classification : 14F08, 14J28, 14J29

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