Igor Dolgachev | Academic Influence

Igor Dolgachev's AcademicInfluence.com Rankings

Igor Dolgachev

Mathematics

#1227

World Rank

#2054

Historical Rank

Measure Theory

#2302

World Rank

#2756

Historical Rank

mathematics Degrees

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Mathematics

Igor Dolgachev's Degrees

PhD Mathematics Moscow State University

Why Is Igor Dolgachev Influential?

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According to Wikipedia, Igor V. Dolgachev 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.

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Igor Dolgachev's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Classical Algebraic Geometry: A Modern View (2012) (605)
Weighted projective varieties (1982) (501)
Mirror symmetry for lattice polarizedK3 surfaces (1995) (419)
Lectures on Invariant Theory (2003) (382)
Variation of geometric invariant theory quotients (1994) (376)
Point sets in projective spaces and theta functions (1988) (366)
Finite Subgroups of the Plane Cremona Group (2006) (246)
Enriques Surfaces I (1988) (183)
Polar Covariants of Plane Cubics and Quartics (1993) (123)
The Hesse pencil of plane cubic curves (2006) (119)
On automorphisms of Enriques surfaces (1984) (114)
Moduli of K3 Surfaces and Complex Ball Quotients (2007) (92)
Arrangements of hyperplanes and vector bundles on $P^n$ (1992) (85)
Automorphic forms and quasihomogeneous singularities (1975) (79)
Reflection groups in algebraic geometry (2006) (79)
Integral quadratic forms : applications to algebraic geometry (1983) (77)
Rational surfaces with a large group of automorphisms (2011) (76)
Elliptic Three-folds I: Ogg-Shafarevich Theory (1992) (65)
Polar Cremona transformations (2000) (63)
On the fundamental group of the complement to a discriminant variety (1981) (62)
A supersingular K3 surface in characteristic 2 and the Leech lattice (2001) (62)
A Character Formula for the Representation of a Weyl Group in the Cohomology of the Associated Toric Variety (1994) (60)
Coble rational surfaces (1999) (58)
A complex ball uniformization of the moduli space of cubic surfaces via periods of K 3 surfaces (2003) (55)
Topics in classical algebraic geometry (2006) (52)
On the link space of a Gorenstein quasihomogeneous surface singularity (1983) (50)
Weyl groups and Cremona transformations (1983) (47)
Abstract configurations in algebraic geometry (2003) (45)
Quotient-conical singularities on complex surfaces (1974) (45)
Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic (2004) (41)
A brief introduction to Enriques surfaces (2014) (40)
Logarithmic sheaves attached to arrangements of hyperplanes (2005) (39)
Rational Surfaces with Many Nodes (2002) (39)
Rationality of the fields of invariants (1985) (37)
A simply connected numerical Godeaux surface with ample canonical class (1997) (37)
Birational automorphisms of quartic Hessian surfaces (2001) (37)
On isogenous principally polarized abelian surfaces (2007) (31)
Dual Homogeneous Forms and Varieties of Power Sums (2004) (31)
On Elements of Prime Order in the Plane Cremona Group over a Perfect Field (2007) (30)
Algebraic Surfaces with q = p g = 0 (2010) (30)
Invariant stable bundles over modular curves X(p) (1997) (29)
Automorphisms of cubic surfaces in positive characteristic (2017) (28)
Luigi Cremona and cubic surfaces (2004) (25)
Introduction to geometric invariant theory (1994) (21)
On automorphisms of nodal Enriques surfaces (1985) (20)
Smooth rational curves on Enriques surfaces (1985) (19)
Wild p-cyclic actions on K3 surfaces (1998) (18)
Rationality of R2 and R3 (2008) (17)
Corrado Segre and nodal cubic threefolds (2015) (17)
On rank 2 vector bundles with c 1 2 = 10 and c 2 = 3 on Enriques surfaces (1991) (15)
On finite k-nets in the complex projective plane (2007) (14)
K3 surfaces with a symplectic automorphism of order 11 (2006) (14)
On certain families of elliptic curves in projective space (2002) (14)
Moduli spaces of K3 surfaces and complex ball quotients (2005) (13)
Variation of geometric invariant theory quotients . Appendix : An example of a thick wall . p-adic uniformization of unitary Shimura varieties . Diophantine approximations and foliations . Erratum to : crystalline Dieudonné module theory via formal and rigid geometry (1998) (13)
Geometry of the Wiman–Edge pencil, I: algebro-geometric aspects (2017) (13)
Cohomologically insignificant degenerations of algebraic varieties (1980) (12)
Salem Numbers and Enriques Surfaces (2016) (11)
Quartic surfaces with icosahedral symmetry (2016) (11)
Classical Algebraic Geometry: Conics and quadric surfaces (2012) (10)
Geometry of algebraic varieties (1976) (10)
Newton polyhedra and factorial rings (1980) (9)
Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic (2012) (9)
Classical Kummer Surfaces and Mordell-Weil Lattices Tetsuji Shioda To (2005) (8)
Pure and Applied Mathematics Quarterly Volume 4, Number 2 (2013) (8)
On the Springer resolution of the minimal unipotent conjugacy class (1984) (8)
Numerically trivial automorphisms of Enriques surfaces in characteristic 2 (2017) (8)
Cremona special sets of points in products of projective spaces (2011) (8)
Lagrangian tens of planes, Enriques surfaces and holomorphic symplectic fourfolds (2019) (8)
Abstract algebraic geometry (1974) (7)
The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces (2012) (7)
Chilean configuration of conics, lines and points (2020) (7)
Kummer Surfaces: 200 Years of Study (2019) (7)
Geometry of the Wiman Pencil, I: Algebro-Geometric Aspects. (2017) (6)
AUTOMORPHISMS OF CLUSTER ALGEBRAS OF RANK 2 (2013) (6)
Rationality of R 2 and R 3 (2007) (6)
On elements of order ps in the plane Cremona group over a field of characteristic p (2008) (6)
Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2 (2015) (6)
Fixed points of a finite subgroup of the plane Cremona group (2014) (6)
15-nodal quartic surfaces.I: quintic del Pezzo surfaces and congruences of lines in $\bbP^3$ (2019) (5)
Orbital Counting of Curves on Algebraic Surfaces and Sphere Packings (2014) (5)
Enriques Surfaces: Generalities (1989) (5)
15-Nodal quartic surfaces. Part II: the automorphism group (2019) (5)
Hilbert's Fourteenth Problem (2003) (5)
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane (1993) (5)
Rational self-maps of moduli spaces (2017) (4)
The different and discriminant of regular mappings (1968) (4)
McKay's correspondence for cocompact discrete subgroups of SU(1,1) (2007) (4)
Configuration spaces of complex and real spheres (2014) (3)
On elements of prime order in Cr_2(Q) (2007) (3)
Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics (2021) (3)
Classical Algebraic Geometry: del Pezzo surfaces (2012) (3)
Correction to “Newton polyhedra and factorial rings” (1981) (3)
The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type (2018) (3)
Surfaces with many nodes (2000) (2)
K 3 Surface in Characteristic 2 and the Leech Lattice (2001) (2)
Automorphisms of Finite Order on Rational Surfaces (2001) (2)
Automorphisms of del Pezzo surfaces of degree 2 in characteristic 2 (2022) (2)
TAME AND WILD FINITE SUBGROUPS OF THE PLANE CREMONA GROUP (2009) (2)
Igor Rostislavovich Shafarevich: in Memoriam (2017) (1)
Book Review: The geometry of schemes (2001) (1)
AUTOMORPHISMS OF CLUSTER ALGEBRAS OF RANK 2 (2014) (1)
15-Nodal quartic surfaces. Part II: the automorphism group (2019) (1)
On Rank 2 Vector Bundles with ~ = 10 and C 2 = 3 on Enriques Surfaces (2006) (1)
Real reductive Cayley groups of rank 1 and 2 (2012) (1)
Self-maps of moduli spaces (2017) (1)
Classical Algebraic Geometry: Theta characteristics (2012) (1)
Borcherds products learning seminar Quadratic lattices, Hermitian symmetric domains, and vector-valued modular forms (2016) (0)
K3 surfaces of Kummer type in characteristic two (2023) (0)
Lectures on Invariant Theory: Bibliography (2003) (0)
Classical Algebraic Geometry: Plane quartics (2012) (0)
Lectures on Invariant Theory: Toric varieties (2003) (0)
Lectures on Invariant Theory: Introduction (2003) (0)
Finite subgroups of the plane Cremona group over perfect fields (2008) (0)
Integral forms and torsors of inseparable forms of G_a (2021) (0)
Classical Algebraic Geometry: Geometry of lines (2012) (0)
ON AUTOMORPHISMS OF NODAL ENRIQUES SURFACES BY F. COSSEC AND I. DOLGACHEV (2007) (0)
Classical Algebraic Geometry: Determinantal equations (2012) (0)
Lectures on Invariant Theory: Stability (2003) (0)
Reductive algebraic groups (2003) (0)
Algebraic geometry : proceedings of the Third Midwest Algebraic Geometry Conference held at the University of Michigan, Ann Arbor, USA, November 14-15, 1981 (1983) (0)
The Geometry of the Enriques Lattice (1989) (0)
Numerical criterion of stability (2003) (0)
Classical Algebraic Geometry: Polarity (2012) (0)
PETERSEN GRAPH AND ICOSAHEDRON (2017) (0)
The Geometry and Combinatorics of Ehrhart δ-Vectors (2009) (0)
Lattices and Root Bases (1989) (0)
Classical Algebraic Geometry: Preface (2012) (0)
Lectures on Invariant Theory: Algebra of covariants (2003) (0)
Hyperbolic Geometry and Algebraic geometry, Seoul-Austin, 2014/15 (2016) (0)
Classical Algebraic Geometry: References (2012) (0)
Genus One Fibration (1989) (0)
Lectures on Invariant Theory: Linearization of actions (2003) (0)
Classical Algebraic Geometry: Cubic surfaces (2012) (0)
Book Review: The Cremona group and its subgroups (2022) (0)
Automorphisms of del Pezzo surfaces in odd characteristic (2023) (0)
Lectures on Invariant Theory: The symbolic method (2003) (0)
Enriques Surfaces: Old and New (2017) (0)
AUTOMORPHISMS OF K3 SURFACES IN POSITIVE CHARACTERIS'['IC (2018) (0)
Igor v. Dolgachev (2007) (0)
Integral Models and Torsors of Inseparable Forms of Ga (2022) (0)
AUTOMORPHISMS OF QUARTIC HESSIAN SURFACES (0)
The First Fundamental Theorem (2003) (0)
ON MODULI AND MIRROR SYMMETRY OF K 3 SURFACES (2013) (0)
Borcherds products learning seminar Applications to Algebraic Geometry (2016) (0)
Algebraic geometry : proceedings of the US-USSR symposium held in Chicago, June 20-July 14, 1989 (1991) (0)
2 N ov 2 00 5 Moduli spaces of K 3 Surfaces and Complex Ball Quotients (2005) (0)
Geometry of the Wiman–Edge pencil, I: algebro-geometric aspects (2018) (0)
The Moduli Space of Curves Is Rigid Acknowledgements: We Thank M. Kapranov for Suggesting the Problem and Subsequent Encouragement, S. Keel for Help with M G,n , and M. Olsson for Help with Log Structures. We Also Thank (2008) (0)
Lectures on Invariant Theory: Configurations of linear subspaces (2003) (0)
On the arithmetic-geometric mean for curves of genus 2 (2007) (0)

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