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Classification of varieties with canonical curve section via Gaussian maps on canonical curves
1998
American Journal of Mathematics
The purpose of this article is to further develop a method to classify varieties X ⊂ IP N having canonical curve section, using Gaussian map computations. In a previous article we applied these techniques to classify prime Fano threefolds, that is Fano threefolds whose Picard group is generated by the hyperplane bundle. In this article we extend this method and classify Fano threefolds of higher index and Mukai varieties, i.e. varieties of dimension four or more with canonical curve sections.
doi:10.1353/ajm.1998.0001
fatcat:oudyuqhodze4temp4roz6fwgtq