The Geometry of Representations of Am .
The geometry of the period mapping on cyclic covers of P1
The geometry of the space of Cauchy data of nonlinear PDEs
First-order jet bundles can be put at the foundations of the modern geometric approach to nonlinear PDEs, since higher-order jet bundles can be seen as constrained iterated jet bundles. The definition of first-order jet bundles can be given in many equivalent ways - for instance, by means of Grassmann bundles. In this paper we generalize it by means of flag bundles, and develop the corresponding theory for higher-oder and infinite-order jet bundles. We show that this is a natural geometric framework...
The geometry of the third moment of exponential sums
We give a geometric interpretation (and we deduce an explicit formula) for two types of exponential sums, one of which is the third moment of Kloosterman sums over of type . We establish a connection between the sums considered and the number of -rational points on explicit smooth projective surfaces, one of which is a surface, whereas the other is a smooth cubic surface. As a consequence, we obtain, applying Grothendieck-Lefschetz theory, a generalized formula for the third moment of Kloosterman...
The global structure of moduli spaces of polarized -divisible groups.
The gonality of general smooth curves with a prescribed plane nodal model.
The gonality of smooth curves with plane Models.
The Gorenstein Property Depends on Characteristic
The graded Lie algebra of a Kähler group.
The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits
The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
The Grothendieck-Riemann-Roch theorem for group scheme actions
The group law on the jacobian of a curve of genus 2.
The group of automorphisms of algebraic function fields.
The Group of Automorphisms of the Modular Function Field.
The groups of points on abelian varieties over finite fields
Let A be an abelian variety with commutative endomorphism algebra over a finite field k. The k-isogeny class of A is uniquely determined by a Weil polynomial f A without multiple roots. We give a classification of the groups of k-rational points on varieties from this class in terms of Newton polygons of f A(1 − t).
The growth of regular functions on algebraic sets
We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.
The growth rate of the number of classes of real plane algebraic curves with the growth of the degree.
The hard Lefschetz theorem and the topology of semismall maps
The Hasse principle for homogeneous spaces.