35 citations · 199 across the 45 of their papers we have counts for
52 papers
The essential and Cremona dimensions of a group
Igor Dolgachev
The Cremona dimension of a group is the minimal such that is isomorphic to a subgroup of the Cremona group of birational transformations of an -dimensional rational…
Monoidal and submonoidal surfaces, and Cremona transformations
Igor V. Dolgachev
We study irreducible surfaces of degree d in that contain a line of multiplicity d-1 (monoidal surfaces) or d-2 (submonoidal surfaces). We relate them to congruences…
Automorphisms of del Pezzo surfaces in odd characteristic
Igor Dolgachev, Gebhard Martin
We complete the classification of automorphism groups of del Pezzo surfaces over algebraically closed fields of odd positive characteristic.
Automorphisms of del Pezzo surfaces in characteristic 2
Igor Dolgachev, Gebhard Martin
We classify the automorphism groups of del Pezzo surfaces of degrees one and two over an algebraically closed field of characteristic two. This finishes the classification of autom…
Integral forms and torsors of inseparable forms of G_a
Igor Dolgachev
After recalling some basic facts about F-wound commutative unipotent algebraic groups over an imperfect field F we study their regular integral models over Dedekind schemes of posi…
Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics
Igor Dolgachev, Gebhard Martin
We study the groups of automorphisms of rational algebraic surfaces that admit a relatively minimal pencil of curves of arithmetic genus one over an algebraically closed field of a…