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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 240, Pages 220–239 (Mi tm385)  

This article is cited in 54 scientific papers (total in 55 papers)

Quasi-Log Varieties

F. Ambroab

a University of Cambridge
b University of Tokyo
References:
Abstract: We extend the Cone and Contraction Theorems of the Log Minimal Model Program to log varieties with arbitrary singularities.
Received in September 2002
Bibliographic databases:
UDC: 512.7
Language: English
Citation: F. Ambro, “Quasi-Log Varieties”, Birational geometry: Linear systems and finitely generated algebras, Collected papers, Trudy Mat. Inst. Steklova, 240, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 220–239; Proc. Steklov Inst. Math., 240 (2003), 214–233
Citation in format AMSBIB
\Bibitem{Amb03}
\by F.~Ambro
\paper Quasi-Log Varieties
\inbook Birational geometry: Linear systems and finitely generated algebras
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 240
\pages 220--239
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm385}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993751}
\zmath{https://zbmath.org/?q=an:1081.14021}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 240
\pages 214--233
Linking options:
  • https://www.mathnet.ru/eng/tm385
  • https://www.mathnet.ru/eng/tm/v240/p220
  • This publication is cited in the following 55 articles:
    1. Matsumura Sh.-i., “Injectivity Theorems With Multiplier Ideal Sheaves For Higher Direct Images Under Kahler Morphisms”, Algebraic Geom., 9:2 (2022), 122–158  crossref  mathscinet  isi
    2. Yu. G. Prokhorov, “Equivariant minimal model program”, Russian Math. Surveys, 76:3 (2021), 461–542  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Nakamura Yu., “Dual Complex of Log Fano Pairs and Its Application to Witt Vector Cohomology”, Int. Math. Res. Notices, 2021:13 (2021), 9802–9833  crossref  mathscinet  isi
    4. Nakkajima Yu., Yobuko F., “Degenerations of Log Hodge de Rham Spectral Sequences, Log Kodaira Vanishing Theorem in Characteristic P > 0 and Log Weak Lefschetz Conjecture For Log Crystalline Cohomologies”, Eur. J. Math., 7:4 (2021), 1537–1615  crossref  mathscinet  isi
    5. Ambro F., “An Injectivity Theorem II”, Rev. Roum. Math. Pures Appl., 65:3, SI (2020), 205–225  mathscinet  isi
    6. Fujino O., Liu W., “Simple Connectedness of Fano Log Pairs With Semi-Log Canonical Singularities”, Math. Z., 295:1-2 (2020), 341–348  crossref  mathscinet  isi  scopus
    7. Fujino O., Liu H., “Fujita-Type Freeness For Quasilog Canonical Curves and Surfaces”, Kyoto J. Math., 60:4 (2020), 1453–1467  crossref  mathscinet  isi
    8. Matsumura Sh.-i., “A Transcendental Approach to Injectivity Theorem For Log Canonical Pairs”, Ann. Scuola Norm. Super. Pisa-Cl. Sci., 19:1 (2019), 311–334  mathscinet  zmath  isi
    9. Liu H., “Angehrn-Siu Type Effective Basepoint Freeness For Quasi-Log Canonical Pairs”, Kyoto J. Math., 59:2 (2019), 455–470  crossref  mathscinet  isi
    10. Altmann K., Kollar J., “The Dualizing Sheaf on First-Order Deformations of Toric Surface Singularities”, J. Reine Angew. Math., 753 (2019), 137–158  crossref  mathscinet  isi
    11. Svaldi R., “Hyperbolicity For Log Canonical Pairs and the Cone Theorem”, Sel. Math.-New Ser., 25:5 (2019), UNSP 67  crossref  mathscinet  isi
    12. Bhatt B., Ma L., Schwede K., “The Dualizing Complex of F-Injective and Du Bois Singularities”, Math. Z., 288:3-4 (2018), 1143–1155  crossref  mathscinet  zmath  isi  scopus
    13. Kovacs S.J., “Moduli of Stable Log-Varieties - An Update”, Algebraic Geometry: Salt Lake City 2015, Pt 1, Proceedings of Symposia in Pure Mathematics, 97, no. 1, eds. DeFernex T., Hassett B., Mustata M., Olsson M., Popa M., Thomas R., Amer Mathematical Soc, 2018, 403–417  crossref  mathscinet  isi
    14. Fujino O., Liu H., “On Normalization of Quasi-Log Canonical Pairs”, Proc. Jpn. Acad. Ser. A-Math. Sci., 94:10 (2018), 97–101  crossref  mathscinet  isi
    15. Gongyo Y., Matsumura Sh.-i., “Versions of injectivity and extension theorems”, Ann. Sci. Ec. Norm. Super., 50:2 (2017), 479–502  crossref  mathscinet  zmath  isi  scopus
    16. Chen J.-Ch., “Characterizing Projective Spaces For Varieties With At Most Quotient Singularities”, Bull. Inst. Math. Acad. Sin. New Ser., 12:4 (2017), 297–314  crossref  mathscinet  zmath  isi
    17. Lu S.S.Y., Zhang D.-Q., “Positivity Criteria For Log Canonical Divisors and Hyperbolicity”, J. Reine Angew. Math., 726 (2017), 173–186  crossref  mathscinet  zmath  isi
    18. Fujino O., “Pull-Back of Quasi-Log Structures”, Publ. Res. Inst. Math. Sci., 53:2 (2017), 241–259  crossref  mathscinet  zmath  isi  scopus
    19. Nicaise J., Xu Ch., “Poles of Maximal Order of Motivic Zeta Functions”, Duke Math. J., 165:2 (2016), 217–243  crossref  mathscinet  zmath  isi  scopus
    20. Boucksom S., Favre Ch., Jonsson M., “Singular Semipositive Metrics in Non-Archimedean Geometry”, J. Algebr. Geom., 25:1 (2016), 77–139  crossref  mathscinet  zmath  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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