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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

IMPACT FACTOR 2017: 0.734

CiteScore 2017: 0.70

SCImago Journal Rank (SJR) 2017: 0.695
Source Normalized Impact per Paper (SNIP) 2017: 0.891

Mathematical Citation Quotient (MCQ) 2017: 0.62

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Volume 13, Issue 3


G-Fano threefolds, I

Yuri Prokhorov
  • Corresponding author
  • Department of Algebra, Faculty of Mathematics, Moscow State University, Moscow, 119 991, Russia
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Published Online: 2013-07-11 | DOI: https://doi.org/10.1515/advgeom-2013-0008


We classify Fano threefolds with only terminal singularities whose canonical class is Cartier and divisible by 2 with the additional assumption that the G-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group G. In particular, we find a lot of examples of Fano 3-folds with “many” symmetries.

Keywords: Fano variety; del Pezzo variety; terminal singularity

About the article

The work was partially supported by RFBR grants Nos. 11-01-00336-a and 11-01-92613-KO_a, Leading Scientific Schools, No. 4713.2010.1, and AG Laboratory HSE, RF government grant ag. 11.G34.31.0023

Published Online: 2013-07-11

Published in Print: 2013-07-01

Citation Information: Advances in Geometry, Volume 13, Issue 3, Pages 389–418, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2013-0008.

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Citing Articles

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Yu G Prokhorov
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Математический сборник, 2016, Volume 207, Number 7, Page 101
A A Avilov
Sbornik: Mathematics, 2016, Volume 207, Number 3, Page 315
Артeм Алексеевич Авилов and Artem Alexeevich Avilov
Математический сборник, 2016, Volume 207, Number 3, Page 3
Юрий Геннадьевич Прохоров and Yuri Gennadievich Prokhorov
Лекционные курсы НОЦ, 2015, Volume 24, Page 3
Yuri Prokhorov and Mikhail Zaidenberg
European Journal of Mathematics, 2016, Volume 2, Number 1, Page 262

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