On Equisingular Deformations of Cone-Like Surface Singularities.
On Equivalence of Ideals of Real Global Analytic Functions and the 17th Hilbert Problem.
On equivalences of derived and singular categories
Let X and Y be two smooth Deligne-Mumford stacks and consider a pair of functions f: X → , g:Y → . Assuming that there exists a complex of sheaves on X × Y which induces an equivalence of D b(X) and D b(Y), we show that there is also an equivalence of the singular derived categories of the fibers f −1(0) and g −1(0). We apply this statement in the setting of McKay correspondence, and generalize a theorem of Orlov on the derived category of a Calabi-Yau hypersurface in a weighted projective...
On Eriques Surface as a Fourfold Cover of P2*
On Euler products and residual Eisenstein cohomology classes for Siegel modular varieties.
On Euler's quartic surface.
On Even surfaces of general type with
On Exact Actions of Unipotent Groups.
On existence of double coset varieties
Let G be a complex affine algebraic group and H,F ⊂ G be closed subgroups. The homogeneous space G/H can be equipped with the structure of a smooth quasiprojective variety. The situation is different for double coset varieties F∖∖G//H. We give examples showing that the variety F∖∖G//H does not necessarily exist. We also address the question of existence of F∖∖G//H in the category of constructible spaces and show that under sufficiently general assumptions F∖∖G//H does exist as a constructible space....
On Exponential Sums in Finite Fields, II.
On extensions of mixed motives.
In this article we give an introduction to mixed motives and sketch a couple of ways to construct examples.
On extensions of number fields obtained by specializing branched coverings.
On Extremal Rational Elliptic Surfaces.
On extremal rays of the higher dimensional varieties.
On -maximal curves of genus .
On Families of Birationally Equivalent Varieties.
On families of pure slope -functions.
On families of trajectories of an analytic gradient vector field
For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.
On Fano 3-Folds.
On Fano 4-folds of index 1 and homogeneous vector bundles over Grassmannians.