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arXiv · 1110.5464

Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1

Gian Mario Besana·Maria Lucia Fania·Flaminio Flamini
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Abstract

Hilbert schemes of suitable smooth, projective manifolds of low degree which are 3-fold scrolls over the Hirzebruch surface F_1 are studied. An irreducible component of the Hilbert scheme parametrizing such varieties is shown to be generically smooth of the expected dimension and the general point of such a component is described.

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Gian Mario Besana, Maria Lucia Fania, Flaminio Flamini. 2012-09-25. Hilbert scheme of some threefold scrolls over the Hirzebruch surface F_1. https://arxiv.org/abs/1110.5464

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