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Izv. RAN. Ser. Mat., 2009, Volume 73, Issue 4, Pages 77–152 (Mi izv2714)  

This article is cited in 5 scientific papers (total in 5 papers)

Log canonical thresholds of three-dimensional Fano hypersurfaces

I. A. Cheltsov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We study global log canonical thresholds of generic hypersurfaces in $\mathbb{P}(1,a_{1},a_{2},a_{3},a_{4})$ of degree $\sum_{i=1}^{4}a_{i}$ that have at most terminal singularities.

Keywords: Fano variety, log canonical threshold, Tian's alpha-invariant, Kähler–Einstein metric.

DOI: https://doi.org/10.4213/im2714

Full text: PDF file (946 kB)
References: PDF file   HTML file

English version:
Izvestiya: Mathematics, 2009, 73:4, 727–795

Bibliographic databases:

UDC: 512.7
MSC: 14J45, 14E07, 14J17, 14J30, 14B05, 32Q20
Received: 06.08.2007
Revised: 25.01.2008

Citation: I. A. Cheltsov, “Log canonical thresholds of three-dimensional Fano hypersurfaces”, Izv. RAN. Ser. Mat., 73:4 (2009), 77–152; Izv. Math., 73:4 (2009), 727–795

Citation in format AMSBIB
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  • https://doi.org/10.4213/im2714
  • http://mi.mathnet.ru/eng/izv/v73/i4/p77

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

    This publication is cited in the following articles:
    1. Pukhlikov V A., “Canonical and Log Canonical Thresholds of Multiple Projective Spaces”, Eur. J. Math.  crossref  isi
    2. Kim I.-K., Okada T., Won J., “Alpha Invariants of Birationally Bi-Rigid Fano 3-Folds i”, Eur. J. Math.  crossref  mathscinet  isi
    3. Pukhlikov A.V., “Canonical and Log Canonical Thresholds of Fano Complete Intersections”, Eur. J. Math., 4:1, 1, SI (2018), 381–398  crossref  mathscinet  zmath  isi  scopus
    4. Cheltsov I. Parka J. Shramov C., “Alpha-Invariants and Purely Log Terminal Blow-Ups”, Eur. J. Math., 4:3, 2, SI (2018), 845–858  crossref  mathscinet  isi  scopus
    5. Cheltsov I., Dubouloz A., Park J., “Super-Rigid Affine Fano Varieties”, Compos. Math., 154:11 (2018), 2462–2484  crossref  mathscinet  zmath  isi
  • Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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