Research Papers – Igor Dolgachev

K3 surfaces of Kummer type in characteristic two (pdf)
The essential and Cremona dimensions of a group https://sites.lsa.umich.edu/idolga/essential/
K3 surfaces of degree six arising from desmic tetrahedra ttps://sites.lsa.umich.edu/idolga/humbertsextics/
Desmic quartic surfaces in arbitrary characteristic https://sites.lsa.umich.edu/idolga/desmic/
Bitangent surfaces and involutions of quartic surfaces http://sites.lsa.um http://sites.lsa.umich.edu/idolga/wp-content/uploads/sites/1467/2026/02/EPiGA-1.pdf
Monoidal and submonoidal surfaces (pdf)
Review of Julia Deserti’s book (pdf)
Automorphism of del Pezzo surfaces:OddChar (with G. Martin), preprint (pdf)
Automorphism of del Pezzo surfaces:EvenChar (with G. Martin), preprint (pdf)
Integral models and torsors of inseparable forms of $G_a$ (pdf)
Automorphisms of rational elliptic and quasi-elliptic surfaces in all characteristics (with G. Martin) (pdf)
Chilean configurations of conics, lines and points (with A. Laface, U. Persson, G. Urzua) (pdf)
Kummer surfaces: 200 years of study. (pdf)
15-nodal quartic surfaces. I: quintic del Pezzo surfaces and congruences of lines in $P^3$, preprint. (pdf)
15-nodal quartic surfaces. Part 2: The automorphism group (with I. Shimada). (pdf)
Lagrangian tens of planes, Enriques surfaces and holomorphic symplectic fourfolds (with D. Markushevich), preprint. (pdf)
The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type (with D. Allcock). (pdf)
Petersen graph and icosahedron, preprint. (pdf)
Numerically trivial automorphisms of Enriques surfaces in characteristic 2 (with G. Martin). (pdf)
Automorphisms of cubic surfaces in arbitrary characteristic (with A. Duncan). (pdf)
The geometry of the Wiman-Edge pencil I. Algebraic geometrical approach (with B. Farb and E. Looijenga) (pdf)
Salem numbers and Enriques surfaces (pdf)
Quartic surfaces with icosahedral symmetry (pdf)
Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2 (with A. Duncan) (pdf)
Rational self-maps of moduli spaces. (pdf)
Fixed points of a finite subgroup of the plane Cremona group (with A. Duncan) (pdf)
Orbital counting of curves on algebraic surfaces and spheres packings (pdf)
Appendix to “Real reductive Cayley groups of rank 1 and 2” by M. Borovoi (pdf)
Corrado Segre and nodal cubic threefolds (preprint) (pdf)
A brief introduction to Enriques surfaces (preprint) (pdf)
Automorphisms of cluster algebras of rank 2 (with J. Blanc) (pdf)
Configuration spaces of complex and real spheres (with B. Howard) (pdf)
Numerical automorphisms of Enriques surfaces in arbitrary characteristic (pdf)
Rationality of moduli spaces of Coble surfaces and general nodal Enriques surfaces (pdf)
Rational surfaces with a large group of automorphisms (with S. Cantat) (pdf)
Cremona special sets of points in product of projective spaces (pdf)
Appendix to Cremona transformations, surface automorphisms, and plane cubics, by J. Diller (pdf)
Finite subgroups of the plane Cremona group (pdf)
Finite subgroups of the plane Cremona group (with V. Iskovskikh) (pdf)
McKay correspondence for cocompact discrete subgroups of SU(1,1) (pdf)
On elements of prime order in the plane Cremona group over a perfect field (with V. Iskovskikh) (pdf)
The Hesse pencil of plane cubic curves (with M. Artebani) (pdf)
K3 surfaces with a symplectic automorphisms of order 11 (with J. Keum) (pdf)
On elements of order $p^s$ in the plane Cremona group over a field of characteristic p (pdf)
Finite symplectic groups of automorphisms of K3 surfaces in positive characteristic (with J. Keum) (pdf)
On isogenous principally polarized abelian surfaces (with D. Lehavi) (pdf)
Reflection groups in algebraic geometry (pdf)
Rationality of R_2 and R_3 (pdf)
Logarithmic sheaves attached to arrangements of hyperplanes (pdf)
Moduli spaces of K3 surfaces and complex ball quotients (with S. Kondo) (pdf)
Luigi Cremona and cubic surfaces
Complex ball uniformization of the moduli space of cubic surfaces via periods of K3 surfaces (with B. van Geemen and S. Kondo) (pdf)
Dual homogeneous forms and varieties of power sums (pdf)
Appendix to “Correspondences between K3 surface” by F. Galluzzi and G. Lombardo (pdf)
On certain families of elliptic curves in projective space (pdf)
Abstract configurations in algebraic geometry (pdf)
A supersingular K3 surface in characteristic 2 and the Leech lattice (with S. Kondo) (pdf)
Rational surfaces with many nodes (with M. Lopez and R. Pardini) (pdf)
Automorphisms of Hessian surfaces (with J. Keum) (pdf)
Wild p-cyclic actions on K3 surfaces (with J. Keum) (pdf)
Coble rational surfaces (with De-Qi Zhang) (pdf)
Appendix to “Automorphisms of finite order on rational surfaces” by D.-Q. Zhang (pdf)
Polar Cremona transformations (pdf)
A simply connected numerical Godeaux surface with ample canonical class (with C. Werner) (Erratum)
Invariant vector bundles over the modular curve X(p) (pdf)
Variations of geometric invariant theory quotients (with Yi Hu)
Mirror symmetry for lattice polarized K3 surfaces (pdf)
Elliptic three-folds:Ogg-Shafarevich theory, I (with M. Gross)
Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane (with M. Kapranov)
A character formula for the representation of a Weyl group in the cohomology of the associated toric variety (with V. Lunts) (pdf)
Arrangements of hyperplanes and vector bundles over $P^n$ (with M. Kapranov) (pdf)
Polar covariants of cubics and quartics (with V. Kanev) (pdf)
On rank 2 vector bundles with c_1^2 = 10, c_2 = 3 on Enriques surfaces (with I. Reider) (pdf)
Enriques surfaces: old and new (pdf)
Enriques surfaces: what is left (pdf)
Point sets in projective spaces and theta functions (with D. Ortland) (pdf)
Rationality of fields of invariants
Infinite Coxeter groups and automorphisms of algebraic surfaces (pdf)
On automorphisms of nodal Enriques surfaces (with F. Cossec) (pdf)
Smooth rational curves on Enriques surfaces (with F. Cossec) (pdf)
On the Springer resolution of the minimal unipotent conjugagy class (with N. Goldstein) (pdf)
Integral quadratic forms:applications to algebraic geometry (pdf)
On algebraic properties of algebras of automorphic forms (pdf)
On the link space of a Gorenstein quasihomogenous surface singularity (pdf)
Weyl groups and Cremona transformations (pdf)
Weighted projective varieties (pdf)
On algebraic surfaces with $q= p_g = 0$ (pdf)
On the fundamental group of the complement to a discriminant variety (with A. Libgober) (pdf)
Cohomologically insignificant degenerations of algebraic varieties
Newton polyhedra and factorial rings (pdf) Correction (pdf)
Unimodal Arnol’d singularities and algebraic K3 surfaces (with V. Nikulin) (pdf)
Geometry of algebraic varieties (with V. Iskovskikh) (pdf)
Automorphic forms and quasi-homogeneous singularities [Russian] (pdf) English trans. (pdf)
Unipotent group schemes over integral domains [Russian] (with B. Weisfeiler) (pdf) Engl. transl (pdf)
Quotient-conical singularities of complex surfaces [Russian] (pdf) Engl. transl
Abstract algebraic geometry (pdf)
On special K3 surfaces [Russian] (pdf) Engl. transl. (pdf)
The Euler characteristic of a family of algebraic varieties [Russian] (pdf) Engl. transl (pdf)
On the purity of degeneration loci of families of curves (pdf)
The different and the discriminant of regular mappings [Russian] (with A. Parshin) (pdf) Engl. transl (pdf)
On rational surfaces with a pencil of elliptic curves [Russian] (pdf)