One-nodal Fano threefolds with Picard number one
Algebraic Geometry
2024-11-14 v2
Abstract
We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher Picard rank and with unprojections of complete intersection varieties.
Keywords
Cite
@article{arxiv.2312.13782,
title = {One-nodal Fano threefolds with Picard number one},
author = {Alexander Kuznetsov and Yuri Prokhorov},
journal= {arXiv preprint arXiv:2312.13782},
year = {2024}
}
Comments
79 pages; v2: 1-cuspidal factorial Fano threefolds included into the classification; 83 pages