# Fano 4-folds with a small contraction

@inproceedings{Casagrande2021Fano4W, title={Fano 4-folds with a small contraction}, author={C. Casagrande}, year={2021} }

The classification of smooth, complex Fano varieties has been achieved up to dimension 3 and attracts a lot of attention also in higher dimensions. Let us focus on dimension 4, the first open case: the context of this paper is the study Fano 4-folds with “large” Picard number (e.g. ρ ≥ 6) by means of birational geometry and families of rational curves, with the aim of gaining a good understanding of the geometry and behaviour of these 4-folds. The main result of this paper is the following.

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