Igor Dolgachev

4.9k citations

58 papers · 1.6k indexed · 2 hit papers · h-index 21

Impact in

Geometry and Topology top 0.2%
- Algebraic Geometry and Number Theory
- Geometry and complex manifolds
- Geometric and Algebraic Topology
- Algebraic structures and combinatorial models
Mathematical Physics top 1%
- Advanced Algebra and Geometry
- Homotopy and Cohomology in Algebraic Topology

Papers in ⓘ

Geometry and Topology 51
- Algebraic Geometry and Number Theory 44
- Mathematics and Applications 6
- Advanced Differential Equations and Dynamical Systems 6
- Geometry and complex manifolds 5
Mathematical Physics 26
- Advanced Algebra and Geometry 22
- Homotopy and Cohomology in Algebraic Topology 6

Co-authors: Yi Hu (1 shared paper)Vassil Kanev (1 shared paper)Mikhail Kapranov (1 shared paper)Shigeyuki Kondō (5 shared papers)JongHae Keum (3 shared papers)Michela Artebani (1 shared paper)Alexander Duncan (3 shared papers)Valery A. Lunts (1 shared paper)
Journals: Journal of Pure and Applied Algebra (3 papers)Pure and Applied Mathematics Quarterly (2 papers)Compositio Mathematica (2 papers)Algebra & Number Theory (2 papers)Bulletin of the American Mathematical Society (2 papers)
Partner nations: United States Germany South Korea

In The Last Decade

Igor Dolgachev

54 papers receiving 1.4k citations

Hit Papers

align trajectories log scale

Classical Algebraic Geometry 2012 · 253 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2012 Cambridge University Press eBooks
2012 CERN Document Server (European Organization for Nuclear Research)

Peers

Countries citing papers authored by Igor Dolgachev

Since Specialization

Citations

This map shows the geographic impact of Igor Dolgachev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Igor Dolgachev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Igor Dolgachev more than expected).

Fields of papers citing papers by Igor Dolgachev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Igor Dolgachev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Igor Dolgachev. The network helps show where Igor Dolgachev may publish in the future.

Co-authors

The 25 scholars most cited alongside Igor Dolgachev, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Igor Dolgachev Line = papers co-authored together Igor Dolgachev links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 58 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Classical Algebraic Geometry Cambridge University Press eBooks ·Igor Dolgachev Hit paper breakdown →	2012	253
2	Mirror symmetry for lattice polarizedK3 surfaces Journal of Mathematical Sciences ·Igor Dolgachev	1996	162
3	Classical Algebraic Geometry: A Modern View CERN Document Server (European Organization for Nuclear Research) ·Igor Dolgachev Hit paper breakdown →	2012	154
4	Point sets in projective spaces and theta functions David Arthur Ortland, Igor Dolgachev	1988	146
5	Variation of geometric invariant theory quotients Publications mathématiques de l IHÉS ·Igor Dolgachev, Yi Hu	1998	120
6	Enriques Surfaces I CERN Document Server (European Organization for Nuclear Research) ·François R. Cossec, Igor Dolgachev	1989	93
7	Polar Covariants of Plane Cubics and Quartics Advances in Mathematics ·Igor Dolgachev, Vassil Kanev	1993	65
8	Arrangements of hyperplanes and vector bundles on Pn Duke Mathematical Journal ·Igor Dolgachev, Mikhail Kapranov	1993	57
9	The Hesse pencil of plane cubic curves Michela Artebani, Igor Dolgachev	2009	37
10	Automorphic forms and quasihomogeneous singularities Functional Analysis and Its Applications ·Igor Dolgachev	1975	31
11	Polar Cremona transformations. The Michigan Mathematical Journal ·Igor Dolgachev	2000	27
12	On automorphisms of Enriques surfaces Inventiones mathematicae ·Igor Dolgachev	1984	27
13	Reflection groups in algebraic geometry Bulletin of the American Mathematical Society ·Igor Dolgachev	2007	25
14	A Character Formula for the Representation of a Weyl Group in the Cohomology of the Associated Toric Variety Journal of Algebra ·Igor Dolgachev, Valery A. Lunts	1994	24
15	On the link space of a Gorenstein quasihomogeneous surface singularity Mathematische Annalen ·Igor Dolgachev	1983	24
16	International Mathematics Research Notices ·Igor Dolgachev, Shigeyuki Kondō	2003	22
17	A complex ball uniformization of the moduli space of cubic surfaces via periods ofK3 surfaces Journal für die reine und angewandte Mathematik (Crelles Journal) ·Igor Dolgachev, Bert van Geemen, Shigeyuki Kondō	2005	22
18	Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic Annals of Mathematics ·Igor Dolgachev, JongHae Keum	2009	22
19	Integral quadratic forms : applications to algebraic geometry French digital mathematics library (Numdam) ·Igor Dolgachev	1983	20
20	Coble rational surfaces American Journal of Mathematics ·Igor Dolgachev, De‐Qi Zhang	2001	20

About Igor Dolgachev

Igor Dolgachev is a scholar working on Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Algebra and Number Theory and Discrete Mathematics and Combinatorics, having authored 58 papers that have together received 1.6k indexed citations. Recurring topics across this work include Algebraic Geometry and Number Theory (44 papers), Advanced Algebra and Geometry (22 papers), Polynomial and algebraic computation (16 papers), Commutative Algebra and Its Applications (12 papers), Mathematics and Applications (6 papers), Homotopy and Cohomology in Algebraic Topology (6 papers), Advanced Differential Equations and Dynamical Systems (6 papers) and Geometry and complex manifolds (5 papers). The work is most often cited by research in Geometry and Topology (1.4k citations), Mathematical Physics (859 citations), Discrete Mathematics and Combinatorics (280 citations), Algebra and Number Theory (325 citations) and Computational Mathematics (38 citations). Igor Dolgachev has collaborated with scholars based in United States, Germany and South Korea. Frequent co-authors include Yi Hu, Vassil Kanev, Mikhail Kapranov, Shigeyuki Kondō, JongHae Keum, Michela Artebani, Alexander Duncan, Valery A. Lunts, De‐Qi Zhang and V. A. Iskovskikh. Their work appears in journals such as Journal of Pure and Applied Algebra, Pure and Applied Mathematics Quarterly, Compositio Mathematica, Algebra & Number Theory and Bulletin of the American Mathematical Society.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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