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Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, Forthcoming paper
DOI: https://doi.org/10.4213/im9585 (Mi im9585) 		 
One-nodal Fano threefolds with Picard number one

A. G. Kuznetsovab, Yu. G. Prokhorovba

a Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
DOI: https://doi.org/10.4213/im9585
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: Fano varieties, Sarkisov links
Received: 10.03.2024
Revised: 13.11.2024
Document Type: Article
UDC: 512.7
Language: Russian
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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