Birationally rigid Pfaffian Fano 3-folds

Abban, Hamid; Okada, Takuzo

2018-2-006.pdf (562.47 kB)

Birationally rigid Pfaffian Fano 3-folds

journal contribution

posted on 2017-02-10, 13:56 authored by Hamid Abban, Takuzo Okada

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.

History

School

Science

Department

Mathematical Sciences

Published in

Algebraic Geometry

Citation

AHMADINEZHAD, H. and OKADA, T., 2017. Birationally rigid Pfaffian Fano 3-folds. Algebraic Geometry, 5 (2), pp.160–199.

Publisher

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by-nc/3.0/

Acceptance date

2017-01-18

Publication date

2017

Notes

This article is distributed with Open Access under the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse, distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial re-use, please contact the Foundation Compositio Mathematica.