Edit Profile (opens in new tab) Dolgachev, Igor’ Vladimirovich Co-Author Distance Author ID: dolgachev.igor-v Published as: Dolgachev, Igor; Dolgachev, Igor V.; Dolgachev, I. V.; Dolgachev, I. more...less Further Spellings: Долгачев Игорь Владимирович Homepage: http://www.math.lsa.umich.edu/~idolga/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 107 Publications since 1966, including 5 Books and 9 Additional arXiv Preprints 2 Contributions as Editor · 3 Further Contributions Reviewing Activity: 139 Reviews Biographic References: 1 Publication Co-Authors: 35 Co-Authors with 51 Joint Publications 760 Co-Co-Authors all top 5 Co-Authors 57 single-authored 5 Martin, Gebhard 4 Iskovskikh, Vasiliĭ Alekseevich 4 Keum, Jonghae 4 Kondō, Shigeyuki 3 Cossec, Francois R. 3 Duncan, Alexander 3 Weisfeiler, Boris 2 Kapranov, Mikhail M. 2 Shimada, Ichiro 2 Zhang, De-Qi 1 Allcock, Daniel Jonathan 1 Artebani, Michela 1 Blanc, Jérémy 1 Bloch, Spencer J. 1 Borovoi, Mikhail V. 1 Cantat, Serge 1 Coble, Arthur Byron 1 Diller, Jeffrey 1 Farb, Benson 1 Fulton, William 1 Goldstein, Norman J. 1 Gross, Mark 1 Hu, Yi 1 Kanev, Vassil 1 Laface, Antonio 1 Lehavi, David 1 Libgober, Anatoly S. 1 Looijenga, Eduard J. N. 1 Lunts, Valery A. 1 Markushevich, Dimitri Genrikhovich 1 Mendes Lopes, Margarida 1 Ortland, David 1 Pardini, Rita 1 Parshin, Alekseĭ Nikolaevich 1 Persson, Ulf A. 1 Reider, Igor 1 Ressayre, Nicolas 1 Urzúa, Giancarlo 1 van Geemen, Bert all top 5 Serials 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 Mathematics of the USSR. Izvestiya 3 Michigan Mathematical Journal 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Algebraic Geometry 2 Advances in Mathematics 2 Compositio Mathematica 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Soviet Mathematics. Doklady 2 IMRN. International Mathematics Research Notices 2 Izvestiya: Mathematics 2 Pure and Applied Mathematics Quarterly 2 Lecture Notes in Mathematics 1 Matematicheskie Zametki 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Mathematics of the USSR, Sbornik 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Advances in Geometry 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Astérisque 1 Lecture Notes Series, Seoul 1 London Mathematical Society Lecture Note Series 1 Proceedings of the Steklov Institute of Mathematics 1 Progress in Mathematics 1 Algebra & Number Theory 1 Algebraic Geometry 1 European Journal of Mathematics 1 Annales Henri Lebesgue all top 5 Fields 101 Algebraic geometry (14-XX) 21 Group theory and generalizations (20-XX) 8 Number theory (11-XX) 8 Several complex variables and analytic spaces (32-XX) 5 Commutative algebra (13-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 2,225 times in 1,722 Documents Cited by ▼ Year ▼ Classical algebraic geometry. A modern view. Zbl 1252.14001 Dolgachev, Igor V. 364 2012 Lectures on invariant theory. Zbl 1023.13006 Dolgachev, Igor 168 2003 Mirror symmetry for lattice polarized \(K3\) surfaces. Zbl 0890.14024 Dolgachev, I. V. 155 1996 Enriques surfaces. I. Zbl 0665.14017 Cossec, François R.; Dolgachev, Igor V. 140 1989 Point sets in projective spaces and theta functions. Zbl 0685.14029 Dolgachev, Igor; Ortland, David 127 1988 Variation of geometric invariant theory quotients. (With an appendix: “An example of a thick wall” by Nicolas Ressayre). Zbl 1001.14018 Dolgachev, Igor V.; Hu, Yi 107 1998 Weighted projective varieties. Zbl 0516.14014 Dolgachev, Igor 106 1982 Finite subgroups of the plane Cremona group. Zbl 1219.14015 Dolgachev, Igor V.; Iskovskikh, Vasily A. 93 2009 Polar covariants of plane cubics and quartics. Zbl 0791.14013 Dolgachev, Igor; Kanev, Vassil 50 1993 The Hesse pencil of plane cubic curves. Zbl 1192.14024 Artebani, Michela; Dolgachev, Igor 48 2009 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007 Dolgachev, I.; Kapranov, M. 42 1993 Moduli of \(K3\) surfaces and complex ball quotients. Zbl 1124.14032 Dolgachev, Igor V.; Kondō, Shigeyuki 33 2007 Polar Cremona transformations. Zbl 1080.14511 Dolgachev, Igor V. 31 2000 Reflection groups in algebraic geometry. Zbl 1278.14001 Dolgachev, Igor V. 31 2008 A character formula for the representation of a Weyl group in the cohomology of the associated toric variety. Zbl 0813.14040 Dolgachev, Igor; Lunts, Valery 31 1994 Rational surfaces with a large group of automorphisms. Zbl 1268.14011 Cantat, Serge; Dolgachev, Igor 27 2012 A complex ball uniformization of the moduli space of cubic surfaces via periods of \(K3\) surfaces. Zbl 1090.14010 Dolgachev, I.; van Geemen, B.; Kondō, S. 25 2005 On automorphisms of Enriques surfaces. Zbl 0575.14036 Dolgachev, I. 24 1984 Cremona transformations, surface automorphisms, and plain cubics. With an appendix by Igor Dolgachev. Zbl 1244.14012 Diller, Jeffrey 23 2011 Smooth rational curves on Enriques surfaces. Zbl 0545.14024 Cossec, F.; Dolgachev, I. 23 1985 Coble rational surfaces. Zbl 1056.14054 Dolgachev, Igor V.; Zhang, De-Qi 21 2001 Abstract configurations in algebraic geometry. Zbl 1068.14059 Dolgachev, Igor V. 21 2004 A supersingular \(K3\) surface in characteristic \(2\) and the Leech lattice. Zbl 1061.14031 Dolgachev, I.; Kondȯ, S. 21 2003 Automorphic forms and quasihomogeneous singularities. Zbl 0321.14003 Dolgachev, I. V. 20 1975 Elliptic threefolds. I: Ogg-Shafarevich theory. Zbl 0803.14021 Dolgachev, Igor; Gross, Mark 20 1994 Finite groups of symplectic automorphisms of \(K3\) surfaces in positive characteristic. Zbl 1187.14047 Dolgachev, Igor; Keum, Jonghae 18 2009 A brief introduction to Enriques surfaces. Zbl 1369.14048 Dolgachev, Igor V. 18 2016 Rational surfaces with many nodes. Zbl 1059.14050 Dolgachev, Igor V.; Mendes Lopes, Margarida; Pardini, Rita 18 2002 A simply connected numerical Godeaux surface with ample canonical class. – Erratum. Zbl 0958.14023 Dolgachev, I.; Werner, C. 17 1999 Dual homogeneous forms and varieties of power sums. Zbl 1222.14116 Dolgachev, Igor V. 17 2004 On automorphisms of nodal Enriques surfaces. Zbl 0569.14016 Cossec, F.; Dolgachev, I. 17 1985 Automorphisms of cubic surfaces in positive characteristic. Zbl 1427.14086 Dolgachev, I.; Duncan, A. 16 2019 Rationality of fields of invariants. Zbl 0659.14009 Dolgachev, Igor V. 15 1987 Logarithmic sheaves attached to arrangements of hyperplanes. Zbl 1156.14015 Dolgachev, Igor V. 15 2007 On the fundamental group of the complement to a discriminant variety. Zbl 0475.14011 Dolgachev, Igor; Libgober, Anatoly 15 1981 Integral quadratic forms: applications to algebraic geometry (after V. Nikulin). Zbl 0535.10018 Dolgachev, Igor 14 1983 On the link space of a Gorenstein quasihomogeneous surface singularity. Zbl 0506.14027 Dolgachev, Igor V. 12 1983 Weyl groups and Cremona transformations. Zbl 0527.14013 Dolgachev, Igor V. 12 1983 Invariant stable bundles over modular curves \(X(p)\). Zbl 0977.14012 Dolgachev, Igor V. 12 1999 Birational automorphisms of quartic Hessian surfaces. Zbl 0994.14007 Dolgachev, Igor; Keum, JongHae 12 2002 Cohomologically insignificant degenerations of algebraic varieties. Zbl 0466.14003 Dolgachev, Igor 12 1981 On elements of prime order in the plane Cremona group over a perfect field. Zbl 1188.14007 Dolgachev, Igor V.; Iskovskikh, Vasily A. 11 2009 Quotient-conical singularities on complex surfaces. Zbl 0295.14017 Dolgachev, I. V. 11 1974 On isogenous principally polarized abelian surfaces. Zbl 1152.14306 Dolgachev, I.; Lehavi, D. 11 2008 The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces. Zbl 1285.14041 Dolgachev, I.; Kondō, S. 11 2013 Automorphisms of finite order on rational surfaces. With an appendix by I. Dolgachev. Zbl 1057.14053 Zhang, D.-Q. 10 2001 On the purity of the degeneration loci of families of curves. Zbl 0176.18503 Dolgachev, I. V. 10 1969 Unipotent group schemes over integral rings. Zbl 0314.14015 Veĭsfeĭler, B. Yu.; Dolgachev, I. V. 10 1974 On rank 2 vector bundles with \(c^ 2_ 1=10\) and \(c_ 2=3\) on Enriques surfaces. Zbl 0766.14031 Dolgachev, Igor; Reider, Igor 10 1991 Corrado Segre and nodal cubic threefolds. Zbl 1402.14043 Dolgachev, Igor 10 2016 Geometry of the Wiman-Edge pencil. I: Algebro-geometric aspects. Zbl 1423.14185 Dolgachev, Igor; Farb, Benson; Looijenga, Eduard 10 2018 Wild \(p\)-cyclic actions on \(K3\)-surfaces. Zbl 1044.14015 Dolgachev, I.; Keum, J. 9 2001 On rational surfaces with a pencil of elliptic curves. (Über rationale Flächen mit einem Büschel elliptischer Kurven.) Zbl 0187.18702 Dolgachev, I. V. 9 1966 On Severi’s conjecture concerning simply connected algebraic surfaces. Zbl 0173.22902 Dolgachev, I. V. 7 1966 Abstract algebraic geometry. Zbl 0284.14003 Dolgachev, I. V. 7 1974 Introduction to geometric invariant theory. Zbl 0826.14008 Dolgachev, Igor V. 6 1994 \(K3\) surfaces with a symplectic automorphism of order 11. Zbl 1185.14035 Dolgachev, Igor V.; Keum, Jonghae 6 2009 Euler characteristic of a family of algebraic varieties. Zbl 0226.14003 Dolgachev, I. V. 6 1972 On certain families of elliptic curves in projective space. Zbl 1099.14005 Dolgachev, Igor V. 6 2004 Newton polyhedra and factorial rings. Zbl 0438.13014 Dolgachev, Igor 6 1980 Rationality of \(\mathcal{R}_2\) and \(\mathcal{R}_3\). Zbl 1144.14045 Dolgachev, Igor V. 5 2008 Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2. Zbl 1485.11074 Dolgachev, Igor; Duncan, Alexander 5 2018 Infinite Coxeter groups and automorphisms of algebraic surfaces. Zbl 0604.14035 Dolgachev, I. 5 1986 Salem numbers and Enriques surfaces. Zbl 1404.14043 Dolgachev, Igor 5 2018 On the Springer resolution of the minimal unipotent conjugacy class. Zbl 0545.22014 Dolgachev, I.; Goldstein, N. 4 1984 Enriques surfaces: What is left? Zbl 0832.14029 Dolgachev, Igor 4 1991 Quartic surfaces with icosahedral symmetry. Zbl 1429.14023 Dolgachev, Igor V. 4 2018 On special algebraic \(K3\) surfaces. I. Zbl 0286.14010 Dolgachev, I. V. 4 1974 The geometry of algebraic varieties. Zbl 0307.14001 Dolgachev, I. V.; Iskovskikh, V. A. 4 1974 Unipotent group schemes over integral rings. Zbl 0321.14026 Veĭsfeĭler, B. Yu.; Dolgachev, I. V. 4 1975 Correction to ”Newton polyhedra and factorial rings”. Zbl 0438.13015 Dolgachev, Igor 4 1981 Automorphisms of cluster algebras of rank 2. Zbl 1320.13026 Blanc, Jérémy; Dolgachev, Igor 4 2015 Fixed points of a finite subgroup of the plane Cremona group. Zbl 1386.14066 Dolgachev, Igor; Duncan, Alexander 4 2016 Chilean configuration of conics, lines and points. Zbl 1492.14053 Dolgachev, Igor; Laface, Antonio; Persson, Ulf; Urzúa, Giancarlo 4 2022 The different and discriminant of regular mappings. Zbl 0177.24201 Dolgachev, I. V.; Parshin, A. N. 3 1968 On the purity of the set of singular points of a morphism of schemes. Zbl 0191.51801 Dolgachev, I. V. 3 1969 On abstract algebraic geometry. I. Zbl 0284.14016 Dolgachev, I. V. 3 1973 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011 Dolgachev, I.; Kapranov, M. 3 1993 Numerical trivial automorphisms of Enriques surfaces in arbitrary characteristic. Zbl 1307.14062 Dolgachev, Igor V. 3 2013 Kummer surfaces: 200 years of study. Zbl 1466.14045 Dolgachev, Igor 3 2020 Finite subgroups of the plane Cremona group. Zbl 1264.14017 Dolgachev, Igor V. 2 2010 Cremona special sets of points in products of projective spaces. Zbl 1227.14020 Dolgachev, Igor V. 2 2011 McKay’s correspondence for cocompact discrete subgroups of SU\((1,1)\). Zbl 1204.14008 Dolgachev, Igor V. 2 2009 The Euler characteristic of a family of algebraic varieties. Zbl 0263.14002 Dolgachev, I. V. 2 1973 Abstract algebraic geometry. Zbl 0277.14001 Dolgachev, I. V. 2 1972 Orbital counting of curves on algebraic surfaces and sphere packings. Zbl 1354.14064 Dolgachev, Igor 2 2016 On elements of order \(p^s\) in the plane Cremona group over a field of characteristic \(p\). Zbl 1312.14044 Dolgachev, Igor V. 2 2009 Numerically trivial automorphisms of Enriques surfaces in characteristic 2. Zbl 1432.14032 Dolgachev, Igor; Martin, Gebhard 2 2019 On algebraic properties of algebras of automorphic forms. Zbl 0538.32024 Dolgachev, Igor 1 1983 Rational self-maps of moduli spaces. Zbl 1387.14050 Dolgachev, Igor V. 1 2016 Algebraic geometry. Proceedings of the US-USSR symposium, held in Chicago, IL, USA, June 20-July 14, 1989. Zbl 0742.00065 1 1991 The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type. (Le tétraèdre, et les automorphismes des surfaces deenriques et de Coble de type Hessiennes.) Zbl 1466.14048 Allcock, Daniel; Dolgachev, Igor 1 2020 15-nodal quartic surfaces. I: Quintic del Pezzo surfaces and congruences of lines in \( \mathbb P^3\). Zbl 1524.14081 Dolgachev, Igor V. 1 2022 15-nodal quartic surfaces. II: The automorphism group. Zbl 1467.14103 Dolgachev, Igor; Shimada, Ichiro 1 2020 Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics. Zbl 1485.14060 Dolgachev, Igor; Martin, Gebhard 1 2022 Chilean configuration of conics, lines and points. Zbl 1492.14053 Dolgachev, Igor; Laface, Antonio; Persson, Ulf; Urzúa, Giancarlo 4 2022 15-nodal quartic surfaces. I: Quintic del Pezzo surfaces and congruences of lines in \( \mathbb P^3\). Zbl 1524.14081 Dolgachev, Igor V. 1 2022 Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics. Zbl 1485.14060 Dolgachev, Igor; Martin, Gebhard 1 2022 Kummer surfaces: 200 years of study. Zbl 1466.14045 Dolgachev, Igor 3 2020 The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type. (Le tétraèdre, et les automorphismes des surfaces deenriques et de Coble de type Hessiennes.) Zbl 1466.14048 Allcock, Daniel; Dolgachev, Igor 1 2020 15-nodal quartic surfaces. II: The automorphism group. Zbl 1467.14103 Dolgachev, Igor; Shimada, Ichiro 1 2020 Automorphisms of cubic surfaces in positive characteristic. Zbl 1427.14086 Dolgachev, I.; Duncan, A. 16 2019 Numerically trivial automorphisms of Enriques surfaces in characteristic 2. Zbl 1432.14032 Dolgachev, Igor; Martin, Gebhard 2 2019 Geometry of the Wiman-Edge pencil. I: Algebro-geometric aspects. Zbl 1423.14185 Dolgachev, Igor; Farb, Benson; Looijenga, Eduard 10 2018 Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2. Zbl 1485.11074 Dolgachev, Igor; Duncan, Alexander 5 2018 Salem numbers and Enriques surfaces. Zbl 1404.14043 Dolgachev, Igor 5 2018 Quartic surfaces with icosahedral symmetry. Zbl 1429.14023 Dolgachev, Igor V. 4 2018 A brief introduction to Enriques surfaces. Zbl 1369.14048 Dolgachev, Igor V. 18 2016 Corrado Segre and nodal cubic threefolds. Zbl 1402.14043 Dolgachev, Igor 10 2016 Fixed points of a finite subgroup of the plane Cremona group. Zbl 1386.14066 Dolgachev, Igor; Duncan, Alexander 4 2016 Orbital counting of curves on algebraic surfaces and sphere packings. Zbl 1354.14064 Dolgachev, Igor 2 2016 Rational self-maps of moduli spaces. Zbl 1387.14050 Dolgachev, Igor V. 1 2016 Automorphisms of cluster algebras of rank 2. Zbl 1320.13026 Blanc, Jérémy; Dolgachev, Igor 4 2015 The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces. Zbl 1285.14041 Dolgachev, I.; Kondō, S. 11 2013 Numerical trivial automorphisms of Enriques surfaces in arbitrary characteristic. Zbl 1307.14062 Dolgachev, Igor V. 3 2013 Classical algebraic geometry. A modern view. Zbl 1252.14001 Dolgachev, Igor V. 364 2012 Rational surfaces with a large group of automorphisms. Zbl 1268.14011 Cantat, Serge; Dolgachev, Igor 27 2012 Cremona transformations, surface automorphisms, and plain cubics. With an appendix by Igor Dolgachev. Zbl 1244.14012 Diller, Jeffrey 23 2011 Cremona special sets of points in products of projective spaces. Zbl 1227.14020 Dolgachev, Igor V. 2 2011 Finite subgroups of the plane Cremona group. Zbl 1264.14017 Dolgachev, Igor V. 2 2010 Finite subgroups of the plane Cremona group. Zbl 1219.14015 Dolgachev, Igor V.; Iskovskikh, Vasily A. 93 2009 The Hesse pencil of plane cubic curves. Zbl 1192.14024 Artebani, Michela; Dolgachev, Igor 48 2009 Finite groups of symplectic automorphisms of \(K3\) surfaces in positive characteristic. Zbl 1187.14047 Dolgachev, Igor; Keum, Jonghae 18 2009 On elements of prime order in the plane Cremona group over a perfect field. Zbl 1188.14007 Dolgachev, Igor V.; Iskovskikh, Vasily A. 11 2009 \(K3\) surfaces with a symplectic automorphism of order 11. Zbl 1185.14035 Dolgachev, Igor V.; Keum, Jonghae 6 2009 McKay’s correspondence for cocompact discrete subgroups of SU\((1,1)\). Zbl 1204.14008 Dolgachev, Igor V. 2 2009 On elements of order \(p^s\) in the plane Cremona group over a field of characteristic \(p\). Zbl 1312.14044 Dolgachev, Igor V. 2 2009 Reflection groups in algebraic geometry. Zbl 1278.14001 Dolgachev, Igor V. 31 2008 On isogenous principally polarized abelian surfaces. Zbl 1152.14306 Dolgachev, I.; Lehavi, D. 11 2008 Rationality of \(\mathcal{R}_2\) and \(\mathcal{R}_3\). Zbl 1144.14045 Dolgachev, Igor V. 5 2008 Moduli of \(K3\) surfaces and complex ball quotients. Zbl 1124.14032 Dolgachev, Igor V.; Kondō, Shigeyuki 33 2007 Logarithmic sheaves attached to arrangements of hyperplanes. Zbl 1156.14015 Dolgachev, Igor V. 15 2007 A complex ball uniformization of the moduli space of cubic surfaces via periods of \(K3\) surfaces. Zbl 1090.14010 Dolgachev, I.; van Geemen, B.; Kondō, S. 25 2005 Abstract configurations in algebraic geometry. Zbl 1068.14059 Dolgachev, Igor V. 21 2004 Dual homogeneous forms and varieties of power sums. Zbl 1222.14116 Dolgachev, Igor V. 17 2004 On certain families of elliptic curves in projective space. Zbl 1099.14005 Dolgachev, Igor V. 6 2004 Lectures on invariant theory. Zbl 1023.13006 Dolgachev, Igor 168 2003 A supersingular \(K3\) surface in characteristic \(2\) and the Leech lattice. Zbl 1061.14031 Dolgachev, I.; Kondȯ, S. 21 2003 Rational surfaces with many nodes. Zbl 1059.14050 Dolgachev, Igor V.; Mendes Lopes, Margarida; Pardini, Rita 18 2002 Birational automorphisms of quartic Hessian surfaces. Zbl 0994.14007 Dolgachev, Igor; Keum, JongHae 12 2002 Coble rational surfaces. Zbl 1056.14054 Dolgachev, Igor V.; Zhang, De-Qi 21 2001 Automorphisms of finite order on rational surfaces. With an appendix by I. Dolgachev. Zbl 1057.14053 Zhang, D.-Q. 10 2001 Wild \(p\)-cyclic actions on \(K3\)-surfaces. Zbl 1044.14015 Dolgachev, I.; Keum, J. 9 2001 Polar Cremona transformations. Zbl 1080.14511 Dolgachev, Igor V. 31 2000 A simply connected numerical Godeaux surface with ample canonical class. – Erratum. Zbl 0958.14023 Dolgachev, I.; Werner, C. 17 1999 Invariant stable bundles over modular curves \(X(p)\). Zbl 0977.14012 Dolgachev, Igor V. 12 1999 Variation of geometric invariant theory quotients. (With an appendix: “An example of a thick wall” by Nicolas Ressayre). Zbl 1001.14018 Dolgachev, Igor V.; Hu, Yi 107 1998 Mirror symmetry for lattice polarized \(K3\) surfaces. Zbl 0890.14024 Dolgachev, I. V. 155 1996 A character formula for the representation of a Weyl group in the cohomology of the associated toric variety. Zbl 0813.14040 Dolgachev, Igor; Lunts, Valery 31 1994 Elliptic threefolds. I: Ogg-Shafarevich theory. Zbl 0803.14021 Dolgachev, Igor; Gross, Mark 20 1994 Introduction to geometric invariant theory. Zbl 0826.14008 Dolgachev, Igor V. 6 1994 Polar covariants of plane cubics and quartics. Zbl 0791.14013 Dolgachev, Igor; Kanev, Vassil 50 1993 Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\). Zbl 0804.14007 Dolgachev, I.; Kapranov, M. 42 1993 Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane. Zbl 0809.14011 Dolgachev, I.; Kapranov, M. 3 1993 On rank 2 vector bundles with \(c^ 2_ 1=10\) and \(c_ 2=3\) on Enriques surfaces. Zbl 0766.14031 Dolgachev, Igor; Reider, Igor 10 1991 Enriques surfaces: What is left? Zbl 0832.14029 Dolgachev, Igor 4 1991 Algebraic geometry. Proceedings of the US-USSR symposium, held in Chicago, IL, USA, June 20-July 14, 1989. Zbl 0742.00065 1 1991 Enriques surfaces. I. Zbl 0665.14017 Cossec, François R.; Dolgachev, Igor V. 140 1989 Point sets in projective spaces and theta functions. Zbl 0685.14029 Dolgachev, Igor; Ortland, David 127 1988 Rationality of fields of invariants. Zbl 0659.14009 Dolgachev, Igor V. 15 1987 Infinite Coxeter groups and automorphisms of algebraic surfaces. Zbl 0604.14035 Dolgachev, I. 5 1986 Smooth rational curves on Enriques surfaces. Zbl 0545.14024 Cossec, F.; Dolgachev, I. 23 1985 On automorphisms of nodal Enriques surfaces. Zbl 0569.14016 Cossec, F.; Dolgachev, I. 17 1985 On automorphisms of Enriques surfaces. Zbl 0575.14036 Dolgachev, I. 24 1984 On the Springer resolution of the minimal unipotent conjugacy class. Zbl 0545.22014 Dolgachev, I.; Goldstein, N. 4 1984 Integral quadratic forms: applications to algebraic geometry (after V. Nikulin). Zbl 0535.10018 Dolgachev, Igor 14 1983 On the link space of a Gorenstein quasihomogeneous surface singularity. Zbl 0506.14027 Dolgachev, Igor V. 12 1983 Weyl groups and Cremona transformations. Zbl 0527.14013 Dolgachev, Igor V. 12 1983 On algebraic properties of algebras of automorphic forms. Zbl 0538.32024 Dolgachev, Igor 1 1983 Weighted projective varieties. Zbl 0516.14014 Dolgachev, Igor 106 1982 On the fundamental group of the complement to a discriminant variety. Zbl 0475.14011 Dolgachev, Igor; Libgober, Anatoly 15 1981 Cohomologically insignificant degenerations of algebraic varieties. Zbl 0466.14003 Dolgachev, Igor 12 1981 Correction to ”Newton polyhedra and factorial rings”. Zbl 0438.13015 Dolgachev, Igor 4 1981 Newton polyhedra and factorial rings. Zbl 0438.13014 Dolgachev, Igor 6 1980 Automorphic forms and quasihomogeneous singularities. Zbl 0321.14003 Dolgachev, I. V. 20 1975 Unipotent group schemes over integral rings. Zbl 0321.14026 Veĭsfeĭler, B. Yu.; Dolgachev, I. V. 4 1975 Quotient-conical singularities on complex surfaces. Zbl 0295.14017 Dolgachev, I. V. 11 1974 Unipotent group schemes over integral rings. Zbl 0314.14015 Veĭsfeĭler, B. Yu.; Dolgachev, I. V. 10 1974 Abstract algebraic geometry. Zbl 0284.14003 Dolgachev, I. V. 7 1974 On special algebraic \(K3\) surfaces. I. Zbl 0286.14010 Dolgachev, I. V. 4 1974 The geometry of algebraic varieties. Zbl 0307.14001 Dolgachev, I. V.; Iskovskikh, V. A. 4 1974 On abstract algebraic geometry. I. Zbl 0284.14016 Dolgachev, I. V. 3 1973 The Euler characteristic of a family of algebraic varieties. Zbl 0263.14002 Dolgachev, I. V. 2 1973 Euler characteristic of a family of algebraic varieties. Zbl 0226.14003 Dolgachev, I. V. 6 1972 Abstract algebraic geometry. Zbl 0277.14001 Dolgachev, I. V. 2 1972 On the purity of the degeneration loci of families of curves. Zbl 0176.18503 Dolgachev, I. V. 10 1969 On the purity of the set of singular points of a morphism of schemes. Zbl 0191.51801 Dolgachev, I. V. 3 1969 The different and discriminant of regular mappings. Zbl 0177.24201 Dolgachev, I. V.; Parshin, A. N. 3 1968 On rational surfaces with a pencil of elliptic curves. (Über rationale Flächen mit einem Büschel elliptischer Kurven.) Zbl 0187.18702 Dolgachev, I. V. 9 1966 On Severi’s conjecture concerning simply connected algebraic surfaces. Zbl 0173.22902 Dolgachev, I. V. 7 1966 all cited Publications top 5 cited Publications all top 5 Cited by 1,693 Authors 29 Dolgachev, Igor’ Vladimirovich 19 Sarti, Alessandra 16 Cheltsov, Ivan Anatol’evich 16 Kondō, Shigeyuki 15 Prokhorov, Yuriĭ Gennad’evich 14 Knutsen, Andreas Leopold 13 Garbagnati, Alice 13 Shramov, Konstantin Aleksandrovich 12 Blanc, Jérémy 12 Jahnel, Jörg 12 Massarenti, Alex 11 Artebani, Michela 11 Chipalkatti, Jaydeep V. 11 Farkas, Gavril 11 Oguiso, Keiji 11 Shimada, Ichiro 10 Camere, Chiara 10 Clingher, Adrian 10 Elsenhans, Andreas-Stephan 10 Hausen, Jürgen 10 Keum, Jonghae 10 Lawton, Sean 10 Sturmfels, Bernd 10 Szemberg, Tomasz 10 Verra, Alessandro 9 Ciliberto, Ciro 9 Dimca, Alexandru 9 Ishitsuka, Yasuhiro 9 Malmendier, Andreas 9 Mirò-Roig, Rosa Maria 8 Ballico, Edoardo 8 Cantat, Serge 8 Doran, Charles F. 8 Gallardo, Patricio 8 Laza, Radu 8 Lubbes, Niels 8 Roulleau, Xavier 8 Trepalin, Andrey S. 7 Alexeev, Valery A. 7 Böhning, Christian 7 Bolognesi, Michele 7 Dedieu, Thomas 7 Déserti, Julie 7 Hulek, Klaus 7 Laterveer, Robert 7 Libgober, Anatoly S. 7 Liedtke, Christian 7 Mella, Massimiliano 7 Ottaviani, Giorgio Maria 7 Przhiyalkovskiĭ, Viktor Vladimirovich 7 Ruan, Yongbin 7 Schütt, Matthias 7 Stellari, Paolo 7 Thompson, Alan Matthew 7 Vallès, Jean 7 Zaidenberg, Mikhail G. 6 Boissière, Samuel 6 Catanese, Fabrizio M. E. 6 Corrêa Barros, Maurício Jun. 6 Ebeling, Wolfgang 6 Graf von Bothmer, Hans-Christian 6 Hosono, Shinobu 6 Huh, Sukmoon 6 Ito, Tetsushi 6 Kharlamov, Viatcheslav M. 6 Kollár, János 6 Laface, Antonio 6 Macrì, Emanuele 6 Manivel, Laurent 6 Matsumoto, Yuya 6 Moon, Han-Bom 6 Schaffler, Luca 6 Schicho, Josef 6 Schröer, Stefan 6 Sernesi, Edoardo 6 Simis, Aron 6 Takagi, Hiromichi 6 Urzúa, Giancarlo 5 Arzhantsev, Ivan Vladimirovich 5 Bergvall, Olof 5 Calabri, Alberto 5 Chen, Yifan 5 Comparin, Paola 5 Duncan, Alexander 5 Farb, Benson 5 Favero, David 5 Finashin, Sergey Mikhailovich 5 Greb, Daniel 5 Gross, Mark 5 Harbourne, Brian 5 Hassett, Brendan 5 Hoff, Michael 5 Howard, Benjamin J. 5 Katsura, Toshiyuki 5 Katzarkov, Ludmil 5 Kimura, Yusuke 5 Kuznetsov, Aleksandr Gennad’evich 5 Lee, Kyoung-Seog 5 Lopez, Angelo Felice 5 Loughran, Daniel ...and 1,593 more Authors all top 5 Cited in 254 Serials 75 Advances in Mathematics 71 Journal of Algebra 71 Transactions of the American Mathematical Society 58 Mathematische Zeitschrift 53 Mathematische Annalen 50 European Journal of Mathematics 48 Journal of Pure and Applied Algebra 35 Manuscripta Mathematica 34 Compositio Mathematica 30 Annales de l’Institut Fourier 29 Duke Mathematical Journal 28 Communications in Algebra 27 Michigan Mathematical Journal 26 Journal of Algebraic Geometry 25 Geometriae Dedicata 24 Inventiones Mathematicae 24 Proceedings of the American Mathematical Society 23 Journal of High Energy Physics 20 Mathematische Nachrichten 20 International Journal of Mathematics 19 Transformation Groups 18 Nagoya Mathematical Journal 17 Journal für die Reine und Angewandte Mathematik 17 Selecta Mathematica. New Series 16 Journal of Geometry and Physics 16 Journal of the American Mathematical Society 14 Communications in Mathematical Physics 14 Journal of the London Mathematical Society. Second Series 14 Journal of the Mathematical Society of Japan 14 Tôhoku Mathematical Journal. Second Series 12 Journal of Symbolic Computation 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 11 Israel Journal of Mathematics 11 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Mathematical Notes 10 Linear Algebra and its Applications 10 Izvestiya: Mathematics 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Forum of Mathematics, Sigma 9 Journal of Number Theory 9 Bulletin of the American Mathematical Society. New Series 9 Experimental Mathematics 8 Rocky Mountain Journal of Mathematics 8 Le Matematiche 8 Revista Matemática Iberoamericana 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Journal of Algebraic Combinatorics 8 Proceedings of the Steklov Institute of Mathematics 8 Bollettino dell’Unione Matematica Italiana 7 Mathematics of Computation 7 Bulletin de la Société Mathématique de France 7 Collectanea Mathematica 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Forum Mathematicum 7 The Journal of Geometric Analysis 7 Geometry & Topology 7 Annals of Mathematics. Second Series 7 Advances in Geometry 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Kyoto Journal of Mathematics 6 Letters in Mathematical Physics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Sbornik: Mathematics 6 Communications in Contemporary Mathematics 6 Central European Journal of Mathematics 6 Algebra & Number Theory 6 Journal of Commutative Algebra 6 Science China. Mathematics 6 SIAM Journal on Applied Algebra and Geometry 5 Beiträge zur Algebra und Geometrie 5 Memoirs of the American Mathematical Society 5 Osaka Journal of Mathematics 5 Pacific Journal of Mathematics 5 Advances in Applied Mathematics 5 Journal of the Ramanujan Mathematical Society 5 International Journal of Algebra and Computation 5 Indagationes Mathematicae. New Series 5 Documenta Mathematica 5 Journal of the European Mathematical Society (JEMS) 5 Moscow Mathematical Journal 5 Journal of the Institute of Mathematics of Jussieu 5 International Journal of Number Theory 5 Journal de l’École Polytechnique – Mathématiques 4 Nuclear Physics. B 4 Russian Mathematical Surveys 4 Acta Mathematica Vietnamica 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Archiv der Mathematik 4 Bulletin of the London Mathematical Society 4 Canadian Journal of Mathematics 4 Journal of Combinatorial Theory. Series A 4 Journal of Soviet Mathematics 4 Proceedings of the Japan Academy. Series A 4 Proceedings of the London Mathematical Society. Third Series 4 Rendiconti del Seminario Matematico della Università di Padova 4 Computer Aided Geometric Design ...and 154 more Serials all top 5 Cited in 49 Fields 1,524 Algebraic geometry (14-XX) 200 Several complex variables and analytic spaces (32-XX) 185 Number theory (11-XX) 146 Commutative algebra (13-XX) 111 Differential geometry (53-XX) 100 Group theory and generalizations (20-XX) 59 Dynamical systems and ergodic theory (37-XX) 57 Combinatorics (05-XX) 53 Manifolds and cell complexes (57-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 52 Quantum theory (81-XX) 50 Convex and discrete geometry (52-XX) 36 Associative rings and algebras (16-XX) 34 Nonassociative rings and algebras (17-XX) 32 Geometry (51-XX) 25 Category theory; homological algebra (18-XX) 25 Topological groups, Lie groups (22-XX) 25 Global analysis, analysis on manifolds (58-XX) 23 Algebraic topology (55-XX) 20 Functions of a complex variable (30-XX) 19 Relativity and gravitational theory (83-XX) 18 Ordinary differential equations (34-XX) 15 History and biography (01-XX) 15 Computer science (68-XX) 12 Field theory and polynomials (12-XX) 12 Difference and functional equations (39-XX) 12 Information and communication theory, circuits (94-XX) 9 \(K\)-theory (19-XX) 9 Special functions (33-XX) 9 Numerical analysis (65-XX) 8 Operator theory (47-XX) 7 Partial differential equations (35-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.