I. A. Cheltsov, “Double space with double line”, Sb. Math., 195:10 (2004), 1503

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Sbornik: Mathematics, 2004, Volume 195, Issue 10, Pages 1503–1544
DOI: https://doi.org/10.1070/SM2004v195n10ABEH000855 (Mi sm855)

This article is cited in 10 scientific papers (total in 10 papers)

Double space with double line

I. A. Cheltsov

Max Planck Institute for Mathematics

English version PDF (477 kB) Citations (10) Russian version article

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DOI: https://doi.org/10.1070/SM2004v195n10ABEH000855

Abstract: For a singular double cover of

$\mathbb P^3$ ramified in a sextic with double line, its birational maps into Fano 3-folds with canonical singularities, elliptic fibrations, and fibrations on surfaces of Kodaira dimension zero are described.

Received: 07.10.2003

Bibliographic databases:

UDC: 512.7

MSC: 14J30, 14J45, 14Exx

Language: English

Original paper language: Russian

Citation: I. A. Cheltsov, “Double space with double line”, Sb. Math., 195:10 (2004), 1503–1544

Citation in format AMSBIB

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\by I.~A.~Cheltsov

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\yr 2004

\vol 195

\issue 10

\pages 1503--1544

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Linking options:

https://www.mathnet.ru/eng/sm855

https://doi.org/10.1070/SM2004v195n10ABEH000855

https://www.mathnet.ru/eng/sm/v195/i10/p109

This publication is cited in the following 10 articles:

A. V. Pukhlikov, “Birationally Rigid Finite Covers of the Projective Space”, Proc. Steklov Inst. Math., 307 (2019), 232–244
A. V. Pukhlikov, “Birational geometry of higher-dimensional Fano varieties”, Proc. Steklov Inst. Math., 288, suppl. 2 (2015), S1–S150
T. Eckl, A. Pukhlikov, “On the locus of nonrigid hypersurfaces”, Springer Proc. Math. Statist., 79 (2014), 121–139
R. J. Mullany, “Fano Double Spaces with a Big Singular Locus”, Math. Notes, 87:3 (2010), 444–448
Ivan Cheltsov, Jihun Park, Progress in Mathematics, 282, Cohomological and Geometric Approaches to Rationality Problems, 2010, 75
A. V. Pukhlikov, “Birationally rigid varieties. I. Fano varieties”, Russian Math. Surveys, 62:5 (2007), 857–942
Pukhlikov A. V., “Birational geometry of algebraic varieties with a pencil of Fano complete intersections”, Manuscripta Math., 121:4 (2006), 491–526
Cheltsov I., “Birationally rigid del Pezzo fibrations”, Manuscripta Math., 116:4 (2005), 385–396
V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov, “Hyperelliptic and trigonal Fano threefolds”, Izv. Math., 69:2 (2005), 365–421
I. A. Cheltsov, “Birationally superrigid cyclic triple spaces”, Izv. Math., 68:6 (2004), 1229–1275

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	422
Russian version PDF:	164
English version PDF:	13
References:	104
First page:	1

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