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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bannai, Eiichi / 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 / Pasini, Antonio / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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1615-7168
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Volume 13, Issue 3

Issues

G-Fano threefolds, II

Yuri Prokhorov
  • Department of Algebra, Faculty of Mathematics, Moscow State University, Moscow, 119 991, Russia, Laboratory of Algebraic Geometry, SU-HSE, 7 Vavilova Str., Moscow, 117312, Russia
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Published Online: 2013-07-11 | DOI: https://doi.org/10.1515/advgeom-2013-0009

Abstract

We classify Fano threefolds with only Gorenstein terminal singularities and Picard number greater than 1, satisfying 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.

Keywords: Fano variety; del Pezzo variety; terminal singularity

About the article

The work was partially supported by the grant RFBR Nos. 11-01-00336-a, 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 419–434, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2013-0009.

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Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Yu G Prokhorov
Sbornik: Mathematics, 2016, Volume 207, Number 7, Page 983
[2]
Юрий Геннадьевич Прохоров and Yuri Gennadievich Prokhorov
Математический сборник, 2016, Volume 207, Number 7, Page 101
[3]
Юрий Геннадьевич Прохоров and Yuri Gennadievich Prokhorov
Лекционные курсы НОЦ, 2015, Volume 24, Page 3

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