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Original Articles

Fano Hypersurfaces in Weighted Projective 4-Spaces

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Pages 151-158 | Published online: 04 Apr 2012

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Gavin Brown, Alexander M. Kasprzyk & Lei Zhu. (2022) Gorenstein Formats, Canonical and Calabi–Yau Threefolds. Experimental Mathematics 31:1, pages 146-164.
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Gavin Brown & Alexander Kasprzyk. (2016) Four-Dimensional Projective Orbifold Hypersurfaces. Experimental Mathematics 25:2, pages 176-193.
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Jaime Cuadros Valle & Joe Lope Vicente. (2023) Sasaki–Einstein 7-manifolds and Orlik’s conjecture. Annals of Global Analysis and Geometry 65:1.
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Burt Totaro. (2023) Klt Varieties With Conjecturally Minimal Volume. International Mathematics Research Notices.
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Taro Sano. 2023. Birational Geometry, Kähler–Einstein Metrics and Degenerations. Birational Geometry, Kähler–Einstein Metrics and Degenerations 839 855 .
Yuchen Liu & Ziquan Zhuang. (2021) Birational Superrigidity and K -Stability of Singular Fano Complete Intersections . International Mathematics Research Notices 2021:1, pages 382-401.
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Enrico Fatighenti, Luca Rizzi & Francesco Zucconi. (2019) Weighted Fano varieties and infinitesimal Torelli problem. Journal of Geometry and Physics 139, pages 1-16.
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Ivan Cheltsov, Adrien Dubouloz & Jihun Park. (2018) Super-rigid affine Fano varieties. Compositio Mathematica 154:11, pages 2462-2484.
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Ivan Cheltsov, Jihun Park & Constantin Shramov. (2018) Alpha-invariants and purely log terminal blow-ups. European Journal of Mathematics 4:3, pages 845-858.
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Marco Pizzato, Taro Sano & Luca Tasin. (2017) Effective nonvanishing for Fano weighted complete intersections. Algebra & Number Theory 11:10, pages 2369-2395.
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J.-J. Chen. (2014) Finiteness of Calabi-Yau Quasismooth Weighted Complete Intersections. International Mathematics Research Notices.
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Ivan Cheltsov, Jihun Park & Joonyeong Won. (2013) Log canonical thresholds of certain Fano hypersurfaces. Mathematische Zeitschrift 276:1-2, pages 51-79.
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Ivan Cheltsov & Constantin Shramov. (2011) On exceptional quotient singularities. Geometry & Topology 15:4, pages 1843-1882.
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Ivan A Cheltsov. (2009) Extremal metrics on two Fano varieties. Sbornik: Mathematics 200:1, pages 95-132.
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Иван Анатольевич Чельцов & Ivan Anatol'evich Cheltsov. (2009) Экстремальные метрики на двух многообразиях ФаноExtremal metrics on two Fano varieties. Математический сборник Matematicheskii Sbornik 200:1, pages 97-136.
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Иван Анатольевич Чельцов, Ivan Anatol'evich Cheltsov, Константин Александрович Шрамов & Konstantin Aleksandrovich Shramov. (2008) Лог-канонические пороги неособых трехмерных многообразий ФаноLog canonical thresholds of smooth Fano threefolds. Успехи математических наук Uspekhi Matematicheskikh Nauk 63:5, pages 73-180.
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Ivan Cheltsov & Jihun Park. (2006) Weighted Fano threefold hypersurfaces. Journal für die reine und angewandte Mathematik (Crelles Journal) 2006:600.
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Gavin Brown. 2006. Discovering Mathematics with Magma. Discovering Mathematics with Magma 137 159 .
Priska Jahnke, Thomas Peternell & Ivo Radloff. 2006. Global Aspects of Complex Geometry. Global Aspects of Complex Geometry 311 357 .
Иван Анатольевич Чельцов & Ivan Anatol'evich Cheltsov. (2005) Бирационально жесткие многообразия ФаноBirationally rigid Fano varieties. Успехи математических наук Uspekhi Matematicheskikh Nauk 60:5, pages 71-160.
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Christopher P Herzog & James McKernan. (2003) Dibaryon spectroscopy. Journal of High Energy Physics 2003:08, pages 054-054.
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Gavin Brown. 2003. Symbolic and Numerical Scientific Computation. Symbolic and Numerical Scientific Computation 210 224 .
Aaron Bergman & Christopher P Herzog. (2002) The Volume of some Non-spherical Horizons and the AdS/CFT Correspondence. Journal of High Energy Physics 2002:01, pages 030-030.
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