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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 165–183 (Mi tm813)  
This article is cited in 8 scientific papers (total in 8 papers)

Birational Geometry of Singular Fano Varieties

A. V. Pukhlikovab

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b University of Liverpool, Liverpool, UK
Full-text PDF (251 kB) Citations (8)
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Abstract: We prove the divisorial canonicity of Fano hypersurfaces and double spaces of general position with elementary singularities.
Received in July 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 159–177
DOI: https://doi.org/10.1134/S0081543809010180
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. V. Pukhlikov, “Birational Geometry of Singular Fano Varieties”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 165–183; Proc. Steklov Inst. Math., 264 (2009), 159–177
Citation in format AMSBIB
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\by A.~V.~Pukhlikov
\paper Birational Geometry of Singular Fano Varieties
\inbook Multidimensional algebraic geometry
\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 165--183
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\pages 159--177
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Linking options:
  • https://www.mathnet.ru/eng/tm813
  • https://www.mathnet.ru/eng/tm/v264/p165
    • This publication is cited in the following 8 articles:
    1. A. V. Pukhlikov, “Birational geometry of varieties fibred into complete intersections of codimension two”, Izv. Math., 86:2 (2022), 334–411  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Krylov I., “Rationally Connected Non-Fano Type Varieties”, Eur. J. Math., 4:1, 1, SI (2018), 335–355  crossref  mathscinet  zmath  isi  scopus
    3. A. V. Pukhlikov, “Birational geometry of algebraic varieties fibred into Fano double spaces”, Izv. Math., 81:3 (2017), 618–644  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Pukhlikov A.V., “Birational geometry of Fano hypersurfaces of index two”, Math. Ann., 366:1-2 (2016), 721–782  crossref  mathscinet  zmath  isi  elib  scopus
    5. A. V. Pukhlikov, “Birationally rigid Fano fibre spaces. II”, Izv. Math., 79:4 (2015), 809–837  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. T. Eckl, A. Pukhlikov, “On the locus of nonrigid hypersurfaces”, Springer Proc. Math. Statist., 79 (2014), 121–139  mathnet  crossref  scopus
    7. A. V. Pukhlikov, “Birationally rigid varieties. II. Fano fibre spaces”, Russian Math. Surveys, 65:6 (2010), 1083–1171  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    8. R. J. Mullany, “Fano Double Spaces with a Big Singular Locus”, Math. Notes, 87:3 (2010), 444–448  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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