Yuri G. Prokhorov, “Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I”, Trudy Mat. Inst. Steklova, 2019, Volume 307,Pages <nobr>230–253</nobr>

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Trudy Mat. Inst. Steklova, 2019 Volume 307, Pages 230–253 (Mi tm4041)

This article is cited in 6 papers

Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I

Yuri G. Prokhorov^abc

^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

Abstract: We classify some special classes of nonrational Fano threefolds with terminal singularities. In particular, all such hyperelliptic and trigonal varieties are found.

UDC: 512.76

Received: May 31, 2019
Revised: June 26, 2019
Accepted: July 9, 2019

DOI: 10.4213/tm4041

English version: Proceedings of the Steklov Institute of Mathematics, 2019, 307, 210–231

Bibliographic databases:

ArXiv: 1907.05678

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