On the purity of the degeneration locus of families of curves (1970)
Doctoral advisor
Igor Shafarevich
Igor V. Dolgachev (born 7 April 1944[1]) is a Russian–American mathematician specializing in algebraic geometry. He has been a professor at the University of Michigan since 1978. He introduced Dolgachev surfaces in 1981.[2]
Dolgachev completed his Ph.D. at Moscow State University in 1970, with thesis On the purity of the degeneration locus of families of curves written under the supervision of Igor Shafarevich.[3]
^Dolgachev, Igor V.; Keum, JongHae; Kondō, Shigeyuki (2007-01-25). Algebraic geometry: Korea-Japan Conference in honor of Igor Dolgachev's 60th birthday, July 5-9, 2004, Korea Institute for Advanced Study, Seoul, Korea. American Mathematical Soc. pp. 7–. ISBN 978-0-8218-4201-0. Retrieved 20 June 2011.
^Donaldson, Simon K.; Society, London Mathematical (1990). Geometry of low-dimensional manifolds: proceedings of the Durham Symposium, July 1989. Cambridge University Press. pp. 56–. ISBN 978-0-521-39978-4. Retrieved 20 June 2011.
^Igor Dolgachev at the Mathematics Genealogy Project
Igor V. Dolgachev (born 7 April 1944) is a Russian–American mathematician specializing in algebraic geometry. He has been a professor at the University...
In mathematics, Dolgachev surfaces are certain simply connected elliptic surfaces, introduced by IgorDolgachev (1981). They can be used to give examples...
conjecture. Shafarevich's students included Yuri Manin, Alexey Parshin, IgorDolgachev, Evgeny Golod, Alexei Kostrikin, Suren Arakelov, G. V. Belyi, Victor...
of a plane cubic introduced by Arthur Cayley (1857) and discussed by IgorDolgachev (2012, p.157). In the same paper Cayley also introduced another similar...
National Institutes of Health John Dewey, co-founder of pragmatism IgorDolgachev, mathematician Sergey Fomin, mathematician who codiscovered Cluster...
surfaces, Annals of Math., Vol. 174, 2012, pp. 299–334 JSTOR 23030565 with IgorDolgachev: Rational Surfaces with a Large Group of Automorphisms, J. Amer. Math...
projective stack. See https://mathoverflow.net/questions/136888/. Dolgachev, Igor (1982), "Weighted projective varieties", Group actions and vector fields...
the ring of functions on the quotient variety is finitely generated. Dolgachev, Igor (2003), Lectures on Invariant Theory, London Mathematical Society Lecture...
New York: Dover Publications, ISBN 978-0-486-49576-7, MR 0120551 Dolgachev, Igor V. (2012), Classical Algebraic Geometry: a modern view (PDF), Cambridge...
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...
(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...
Wesley (1910), Projective Geometry, vol. I, Ginn and Company, p. 249 Dolgachev, Igor V. (2004), "Abstract configurations in algebraic geometry", The Fano...
the field of definition of the original curve. Artebani, Michela; Dolgachev, Igor (2009), "The Hesse pencil of plane cubic curves", L'Enseignement Mathématique...
{\displaystyle p} to C {\displaystyle C} meets a {\displaystyle a} . Dolgachev, Igor V. (2012-08-16). Classical Algebraic Geometry: A Modern View (PDF)...
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...
{\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...
Boston, MA: Birkhäuser Boston, Inc., ISBN 0-8176-3792-3, MR 1433132 Dolgachev, Igor; Goldstein, Norman (1984), "On the Springer resolution of the minimal...
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...
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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