$1$-nodal Fano threefolds with Picard number $1$
We classify all $1$-nodal degenerations of smooth Fano threefolds with Picard number $1$ (both non-factorial 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.
Authors
- Yuri Prokhorov (ORCID: https://orcid.org/0000-0001-7376-1861)
- Alexander Kuznetsov
Institutions
- National Research University Higher School of Economics (RU)
- Russian Academy of Sciences (RU)
- Steklov Mathematical Institute (RU)
Publication Details
- Journal
- Izvestiya Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/im9585e
- Citations
- 2
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 8.18
Funders
- National Center for Theoretical Sciences
- National Research University Higher School of Economics