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arXiv · 1202.0510

Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds

Jan Arthur Christophersen·Nathan Owen Ilten
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Abstract

For fixed degree $d\leq 12$, we study the Hilbert scheme of degree $d$ smooth Fano threefolds in their anticanonical embeddings. We use this to classify all possible degenerations of these varieties to toric Fano varieties with at most canonical Gorenstein singularities.

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Jan Arthur Christophersen, Nathan Owen Ilten. 2012-02-02. Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds. https://doi.org/10.1515/crelle-2014-0011

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