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Birationally rigid Pfaffian Fano 3-folds by Abban, Hamid; Okada, Takuzo is a scholarly article available to read on EtoBox.

What is Birationally rigid Pfaffian Fano 3-folds about?

We classify birationally rigid orbifold Fano 3-folds of index one defined by $5 \times 5$ Pfaffians. 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.

Author

Abban, Hamid; Okada, Takuzo

Published

2015

Language

EN