Geodesic
Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, number theory, and algebraic geometry, Tome 307 (2019), pp. 230-253

Voir la notice de l'article provenant de la source Math-Net.Ru

We classify some special classes of nonrational Fano threefolds with terminal singularities. In particular, all such hyperelliptic and trigonal varieties are found. 
@article{TM_2019_307_a12,
     author = {Yuri G. Prokhorov},
     title = {Rationality of {Fano} {Threefolds} with {Terminal} {Gorenstein} {Singularities.} {I}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {230--253},
     publisher = {mathdoc},
     volume = {307},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_307_a12/}
}
TY  - JOUR
AU  - Yuri G. Prokhorov
TI  - Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2019
SP  - 230
EP  - 253
VL  - 307
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2019_307_a12/
LA  - ru
ID  - TM_2019_307_a12
ER  - 
%0 Journal Article
%A Yuri G. Prokhorov
%T Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2019
%P 230-253
%V 307
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2019_307_a12/
%G ru
%F TM_2019_307_a12
Yuri G. Prokhorov. Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, number theory, and algebraic geometry, Tome 307 (2019), pp. 230-253. http://geodesic.mathdoc.fr/item/TM_2019_307_a12/