On a problem of Dvornicich and Zannier
On a problem of Seiberg and Witten
We describe alternate methods of solution for a model arising in the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory and provide a complete argument for the characterization put forth by Argyres, Faraggi, and Shapere of the curve .
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On a question of Demailly-Peternell-Schneider
We give an affirmative answer to an open question posed by Demailly-Peternell-Schneider in 2001 and recently by Peternell. Let be a surjective morphism from a log canonical pair onto a -Gorenstein variety . If is nef, we show that is pseudo-effective.
On a result of Farkas.
On a Result of Riemenschneider.
On a separation of orbits in the module variety for domestic canonical algebras
Given a pair M,M' of finite-dimensional modules over a domestic canonical algebra Λ, we give a fully verifiable criterion, in terms of a finite set of simple linear algebra invariants, deciding if M and M' lie in the same orbit in the module variety, or equivalently, if M and M' are isomorphic.
On a sequence arising in algebraic geometry.
On a spanned tautological bundle.
On a Special Class of Non Complete Webs
In this article, we introduce a special class of non complete webs, the NN-webs. We also study the algebraic and geometric properties of these webs.
On a stratification of the moduli of K3 surfaces
In this paper we give a characterization of the height of K3 surfaces in characteristic . This enables us to calculate the cycle classes in families of K3 surfaces of the loci where the height is at least . The formulas for such loci can be seen as generalizations of the famous formula of Deuring for the number of supersingular elliptic curves in characteristic . In order to describe the tangent spaces to these loci we study the first cohomology of higher closed forms.
On a surface of the eighth order
On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras.
On a Theorem of Castelnuovo, and the Equations Defining Space Curves.
On a theorem of Coleman.
On a theorem of Enriques - Swinnerton-Dyer
On a theorem of Tate
We study applications of divisibility properties of recurrence sequences to Tate’s theory of abelian varieties over finite fields.
On a theorem relating to the Multiple Thetafunctions
On a variation of Mazur's deformation functor
On abelian automorphism group of a surface of general type.