The Hilbert scheme of 3-folds in $P^n$, n >= 6, that are scrolls over $P^2$ or over a smooth quadric surface Q subset of $P^3$ or that are quadric or cubic fibrations over $P^1$ is studied. All known such threefolds of degree 7 <= d <= 11 are shown to correspond to smooth points of an irreducible component of their Hilbert scheme, whose dimension is computed.
The dimension of the Hilbert scheme of special threefolds
FANIA, Maria Lucia
2005-01-01
Abstract
The Hilbert scheme of 3-folds in $P^n$, n >= 6, that are scrolls over $P^2$ or over a smooth quadric surface Q subset of $P^3$ or that are quadric or cubic fibrations over $P^1$ is studied. All known such threefolds of degree 7 <= d <= 11 are shown to correspond to smooth points of an irreducible component of their Hilbert scheme, whose dimension is computed.File in questo prodotto:
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