%0 Journal Article %T Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds %A Jan Arthur Christophersen %A Nathan Owen Ilten %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1202.0510v3