Аннотация:
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.
Ключевые слова:Fano varieties, Sarkisov links
Поступило в редакцию: 10.03.2024 Исправленный вариант: 13.11.2024