We classify birationally rigid orbifold Fano 3-folds of index one delined by 5 x 5 Pfaf-
ffans. We give a sharp criterion for birational rigidity of these families based on the type of singularities that the varieties admit. Various conjectures are born out of our study, highlighting a possible approach to the classification of terminal Fano 3-folds. The birationally rigid cases are the first known rigid examples of Fanos that are not (weighted) complete intersection.
Published inAlgebraic Geometry
CitationAHMADINEZHAD, H. and OKADA, T., 2017. Birationally rigid Pfaffian Fano 3-folds. Algebraic Geometry, 5 (2), pp.160–199.
Publisher© The Authors. Published by Foundation Compositio Mathematica
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