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arXiv · 1406.0956

Hilbert schemes of some threefold scrolls over F_e

Maria Lucia Fania·Flaminio Flamini
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Abstract

Hilbert schemes of suitable smooth, projective 3-fold scrolls over the Hirzebruch surface F_e, with e > 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. This article generalizes the study of Hilbert schemes done in arXiv:1110.5464 for e=1.

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Maria Lucia Fania, Flaminio Flamini. 2014-06-04. Hilbert schemes of some threefold scrolls over F_e. https://arxiv.org/abs/1406.0956

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