On the degree of the Gauss mapping of a submanifold of an Abelian variety.
On the degree of the -function associated with an exponential sum
On the Demazure character formula
On the Density of Ratios of Chern Numbers of Algebraic Surfaces.
On the derived categories of coherent sheaves on some homogeneous spaces.
On the Desingularization of the Unipotent Variety.
On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces.
On the determinant of periods with finite monodromy.
On the determinant of the bundle of meromorphic quadratic differentials on the Deligne-Mumford compactification of the moduli space of Riemann surfaces.
On the diffeomorphic type of the complement to a line arrangement in a projective plane
We show that the diffeomorphic type of the complement to a line arrangement in a complex projective plane P 2 depends only on the graph of line intersections if no line in the arrangement contains more than two points in which at least two lines intersect. This result also holds for some special arrangements which do not satisfy this property. However it is not true in general, see [Rybnikov G., On the fundamental group of the complement of a complex hyperplane arrangement, Funct. Anal. Appl., 2011,...
On the diffeomorphism types of elliptic surfaces with multiple fibers.
On the difference between real and complex arrangements.
On the Difference of 4-Gonal Linear Systems on some Curves
Let C = (C, g^1/4 ) be a tetragonal curve. We consider the scrollar invariants e1 , e2 , e3 of g^1/4 . We prove that if W^1/4 (C) is a non-singular variety, then every g^1/4 ∈ W^1/4 (C) has the same scrollar invariants.
On the Difference of the Weil Height and the Néron-Tate Height.
On the differentiable structure of certain algebraic surfaces
On the differential of applications defined on moduli spaces of p.p.a.v. with level theata structure.
On the Dimension of Analytic Cohomology.
On the dimension of secant varieties
In this paper we generalize Zak’s theorems on tangencies and on linear normality as well as Zak’s definition and classification of Severi varieties. In particular we find sharp lower bounds for the dimension of higher secant varieties of a given variety under suitable regularity assumptions on , and we classify varieties for which the bound is attained.
On the dimension of the adjoint linear system for threefolds
On the Diophantine equation f(y) - x = 0