• Thumbnail for Igor Dolgachev
    Igor V. Dolgachev (born 7 April 1944) is a Russian–American mathematician specializing in algebraic geometry. He has been a professor at the University...
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  • In mathematics, Dolgachev surfaces are certain simply connected elliptic surfaces, introduced by Igor Dolgachev (1981). They can be used to give examples...
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  • Thumbnail for Igor Shafarevich
    conjecture. Shafarevich's students included Yuri Manin, Alexey Parshin, Igor Dolgachev, Evgeny Golod, Alexei Kostrikin, Suren Arakelov, G. V. Belyi, Victor...
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  • whose only source of income is a relationship with a married official Igor Dolgachev, with whom she met thanks to a matchmaker to the elite in Moscow. Alisa...
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  • of a plane cubic introduced by Arthur Cayley (1857) and discussed by Igor Dolgachev (2012, p.157). In the same paper Cayley also introduced another similar...
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  • a thesis on “Picard Lattices of Families of K3 Surfaces” done with Igor Dolgachev. Since 2012, she has also been an instructor at the Art of Problem Solving...
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  • surfaces, Annals of Math., Vol. 174, 2012, pp. 299–334 JSTOR 23030565 with Igor Dolgachev: Rational Surfaces with a Large Group of Automorphisms, J. Amer. Math...
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  • projective stack. See https://mathoverflow.net/questions/136888/. Dolgachev, Igor (1982), "Weighted projective varieties", Group actions and vector fields...
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  • New York: Dover Publications, ISBN 978-0-486-49576-7, MR 0120551 Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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  • 279–304, doi:10.1016/0001-8708(87)90010-7, ISSN 0001-8708, MR 0888630 Dolgachev, Igor (2012), Classical Algebraic Geometry : A Modern View, Cambridge University...
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  • National Institutes of Health John Dewey, co-founder of pragmatism Igor Dolgachev, mathematician Sergey Fomin, mathematician who codiscovered Cluster...
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  • American Mathematical Society, ISBN 978-0-8218-1010-1, MR 0733252 Dolgachev, Igor. (2012), Classical Algebraic Geometry:a modern view, Cambridge.: Cambridge...
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  • the ring of functions on the quotient variety is finitely generated. Dolgachev, Igor (2003), Lectures on Invariant Theory, London Mathematical Society Lecture...
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  • (4): 507–588, doi:10.24033/asens.1201, ISSN 0012-9593, MR 0284446 Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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  • 415–446, doi:10.1098/rstl.1857.0021, ISSN 0080-4614, JSTOR 108626 Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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  • {\displaystyle p} to C {\displaystyle C} meets a {\displaystyle a} . Dolgachev, Igor V. (2012-08-16). Classical Algebraic Geometry: A Modern View (PDF)...
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  • blowing up of the projective plane at the 10 nodes of a Coble curve. Dolgachev, Igor V.; Zhang, De-Qi (2001), "Coble Rational Surfaces", American Journal...
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  • {\displaystyle {\big (}\sum x_{i}^{2}{\big )}^{2}=4\sum x_{i}^{4}} Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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  • Ital. Delle Scienze, Série III, 10: 103–123 Cossec, François R.; Dolgachev, Igor V. (1989), Enriques surfaces. I, Progress in Mathematics, vol. 76,...
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  • Thumbnail for David Eisenbud
    Society. New Series. 33 (3): 367–370. doi:10.1090/s0273-0979-96-00662-3. Dolgachev, Igor (2001). "Review: The geometry of schemes, by David Eisenbud and Joe...
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  • Mathematics, 4 (1): 1–15, doi:10.2307/2369145, ISSN 0002-9327, JSTOR 2369145 Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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  • quadrilateral with this property is called a Hesse quadrilateral. Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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  • Thumbnail for Hesse configuration
    Wesley (1910), Projective Geometry, vol. I, Ginn and Company, p. 249 Dolgachev, Igor V. (2004), "Abstract configurations in algebraic geometry", The Fano...
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  • singular points, Cambridge University Press, ISBN 978-1-112-28262-1 Dolgachev, Igor V. (2012), Classical Algebraic Geometry: A Modern View, Cambridge University...
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  • the field of definition of the original curve. Artebani, Michela; Dolgachev, Igor (2009), "The Hesse pencil of plane cubic curves", L'Enseignement Mathématique...
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  • Boston, MA: Birkhäuser Boston, Inc., ISBN 0-8176-3792-3, MR 1433132 Dolgachev, Igor; Goldstein, Norman (1984), "On the Springer resolution of the minimal...
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  • Bibcode:2013arXiv1302.0374M, doi:10.1112/S0010437X14007817, S2CID 119123326 Dolgachev, Igor (2001) [1994], "Kodaira dimension", Encyclopedia of Mathematics, EMS...
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  • Thumbnail for Möbius–Kantor configuration
    Reprinted in The Visual Mind, MIT Press, 1993, pp. 19–26, MR1255836. Dolgachev, Igor V. (2004), "Abstract configurations in algebraic geometry", The Fano...
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  • doi:10.1016/0001-8708(70)90015-0, ISBN 978-0-12-215540-6, MR 0279102 Dolgachev, Igor (2003), Lectures on invariant theory, London Mathematical Society Lecture...
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  • complex reflection group, 3[3]3[4]2 or of order 1296. Artebani, Michela; Dolgachev, Igor (2009), "The Hesse pencil of plane cubic curves", L'Enseignement Mathématique...
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