Birationally rigid Pfaffian Fano 3-folds
Algebraic Geometry
2022-07-22 v2
Abstract
We classify birationally rigid orbifold Fano 3-folds of index one defined by 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.
Keywords
Cite
@article{arxiv.1508.02974,
title = {Birationally rigid Pfaffian Fano 3-folds},
author = {Hamid Abban and Takuzo Okada},
journal= {arXiv preprint arXiv:1508.02974},
year = {2022}
}
Comments
Final version. To appear in Algebraic Geometry