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Dolgachev, Igor’ Vladimirovich

Author ID: dolgachev.igor-v Recent zbMATH articles by "Dolgachev, Igor’ Vladimirovich"
Published as: Dolgachev, Igor; Dolgachev, Igor V.; Dolgachev, I. V.; Dolgachev, I.
Further Spellings: Долгачев Игорь Владимирович
Homepage: http://www.math.lsa.umich.edu/~idolga/
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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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

Publications by Year

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 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

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