Publications

  • Salem numbers and Enriques surfaces (pdf)
  • Quartic surfaces with icosahedral symmetry (preprint) (pdf)
  • Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2 (with A. Duncan) (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 (pdf)
  • 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 surfaces'' 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) (pdf) Erratum(pdf)
  • Invariant vector bundles over the modular curve X(p) (pdf)
  • Variations of geometric invariant theory quotients (with Yi Hu) (pdf)
  • Mirror symmetry for lattice polarized K3 surfaces (pdf)
  • Elliptic three-folds:Ogg-Shafarevich theory, I (with M. Gross) (pdf)
  • Schur quadrics, cubic surfaces and rank 2 vector bundles over the projective plane (with M. Kapranov) (pdf)
  • 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 (pdf)
  • 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)
  • 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 (pdf)
  • 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 (pdf)
  • 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] 9with A. Parshin) (pdf) Engl. transl (pdf)
  • On rational surfaces with a pencil of elliptic curves [Russian] (pdf)