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Tr. Mat. Inst. Steklova, Forthcoming paper (Mi tm4041)  

Rationality of Fano threefolds with terminal Gorenstein singularities, I

Yu. G. Prokhorovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Laboratory of algebraic geometry and its applications, Higher School of Economics, Moscow

Abstract: We classify some special classes of non-rational 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
The study has been funded within the framework of the HSE University Basic Research Program and the Russian Academic Excellence Project ``5-100''.



UDC: 512.76

Accepted: July 9, 2019

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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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