DOI:10.1007/BF01170131 - Corpus ID: 189831516
Classification of Fano 3-folds with B2≥2
@article{Mori1981ClassificationOF, title={Classification of Fano 3-folds with B2≥2}, author={Shigefumi Mori and Shigeru Mukai}, journal={manuscripta mathematica}, year={1981}, volume={36}, pages={147-162}, url={https://api.semanticscholar.org/CorpusID:189831516}}This article contains the classification of Fano 3-folds with B2≥2.There exist exactly 87 types of such 3-folds up to deformations; a Fano 3-fold is isomorphic to a product of Pl and a del Pezzo surface if its second Betti number is not less than 6. In particular, the second Betti number of a Fano 3-fold is not greater than 10.Firstly we classify Fano 3-folds which are either primitive or have B2=2 by the tools developed in [2]; then we study Fano 3-folds obtained from them by successive curve…
228 Citations
228 Citations
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