35 citations · 68 across the 6 of their papers we have counts for
10 papers · 1 filter
Logarithmic sheaves attached to arrangements of hyperplanes
Igor V. Dolgachev
A reduced divisor on a nonsingular variety defines the sheaf of logarithmic 1-forms. We introduce a certain coherent sheaf whose double dual coincides with this sheaf. It has some…
Luigi Cremona and cubic surfaces
Igor V. Dolgachev
We discuss Luigi Cremona's contribution to the early development of the theory of cubic surfaces.
Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic
Igor Dolgachev, JongHae Keum
We show that Mukai's classification of finite groups which may act symplectically on a complex K3 surface extends to positive characteristic under the assumptions that (i) the…
A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces
I. Dolgachev, B. van Geemen, S. Kondo
In this paper we show that the moduli space of nodal cubic surfaces is isomorphic to a quotient of a 4-dimensional complex ball by an arithmetic subgroup of the unitary group. This…
Abstract configurations in algebraic geometry
I. Dolgachev
An abstract -configuration is a pair of finite sets of cardinalities and with a relation on the product of the sets such that each element of the first set is re…
On certain families of elliptic curves in projective space
Igor V. Dolgachev
We study families of elliptic curves of degree n+1 in containing a fixed set of m points. In the case m = n+3 we show that this family is birationally isomorphic to a smooth…