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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 307, Pages 230–253
DOI: https://doi.org/10.4213/tm4041 (Mi tm4041) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I

Yuri G. Prokhorovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
c Laboratory of Algebraic Geometry and its Applications, HSE University, ul. Usacheva 6, Moscow, 119048 Russia
Full-text PDF (360 kB) Citations (4)
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DOI: https://doi.org/10.4213/tm4041
Abstract: We classify some special classes of nonrational Fano threefolds with terminal singularities. In particular, all such hyperelliptic and trigonal varieties are found.
Funding agency Grant number
National Research University Higher School of Economics
Ministry of Education and Science of the Russian Federation 5-100
The work was supported by the HSE Basic Research Program and the Russian Academic Excellence Project “5-100.”
Received: May 31, 2019
Revised: June 26, 2019
Accepted: July 9, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 307, Pages 210–231
DOI: https://doi.org/10.1134/S0081543819060130
Bibliographic databases:
Document Type: Article
UDC: 512.76
Language: Russian
Citation: Yuri G. Prokhorov, “Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I”, Algebra, number theory, and algebraic geometry, Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 307, Steklov Mathematical Institute of RAS, Moscow, 2019, 230–253; Proc. Steklov Inst. Math., 307 (2019), 210–231
Citation in format AMSBIB
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\by Yuri~G.~Prokhorov
\paper Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I
\inbook Algebra, number theory, and algebraic geometry
\bookinfo Collected papers. Dedicated to the memory of Academician Igor Rostislavovich Shafarevich
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 307
\pages 230--253
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
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\crossref{https://doi.org/10.4213/tm4041}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2019
\vol 307
\pages 210--231
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    • Related presentations:
    This publication is cited in the following 4 articles:
    1. Ciro Ciliberto, “On the rationality of certain Fano threefolds”, manuscripta math., 174:1-2 (2024), 203  crossref  mathscinet
    2. Alexander Kuznetsov, Evgeny Shinder, “Derived categories of Fano threefolds and degenerations”, Invent. math., 2024  crossref
    3. Yu. G. Prokhorov, “Rationality of Fano threefolds with terminal Gorenstein singularities, II”, Rend. Circ. Mat. Palermo (2), 72 (2023), 1797–1821  mathnet  crossref  mathscinet  scopus
    4. A. A. Kuznetsova, “Finite 3-Subgroups in the Cremona Group of Rank 3”, Math. Notes, 108:5 (2020), 697–715  mathnet  mathnet  crossref  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:513
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    References:57
    First page:12
     
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