On the Normal Bundles of Rational Space Curves.
On the number of compatibly Frobenius split subvarieties, prime -ideals, and log canonical centers
Let be a projective Frobenius split variety with a fixed Frobenius splitting . In this paper we give a sharp uniform bound on the number of subvarieties of which are compatibly Frobenius split with . Similarly, we give a bound on the number of prime -ideals of an -finite -pure local ring. Finally, we also give a bound on the number of log canonical centers of a log canonical pair. This final variant extends a special case of a result of Helmke.
On the number of points on abelian and Jacobian varieties over finite fields
We give upper and lower bounds for the number of points on abelian varieties over finite fields, and lower bounds specific to Jacobian varieties. We also determine exact formulas for the maximum and minimum number of points on Jacobian surfaces.
On the -adic continuation of the logarithmic derivative of certain hypergeometric functions
On the p-adic height of Heegner cycles.
On the p-adic periods of X...(p).
On the Picard-Fuchs Equation and the Formal Brauer Group of Certain Elliptic K3-Surfaces.
On the Poincaré series associated to the p-adic points on a curve
On the Poles of a Local Zeta Function for Curves.
On the p-rank of an abelian variety and its endomorphism algebra.
Let A be an abelian variety defined over a finite field. In this paper, we discuss the relationship between the p-rank of A, r(A), and its endomorphism algebra, End0(A). As is well known, End0(A) determines r(A) when A is an elliptic curve. We show that, under some conditions, the value of r(A) and the structure of End0(A) are related. For example, if the center of End0(A) is an abelian extension of Q, then A is ordinary if and only if End0(A) is a commutative field. Nevertheless, we give an example...
On the Rational Points of Abelian Varieties over Zp Extensions of Number Fields.
On the Rationality of Certain Generating Functions.
On the rationality of periods of primitive forms
On the Real Points of an Arithmetic Quotient of a Bounded Symmetrie Domain.
On the reducibility type of trinomials
On the reduction of abelian varieties
On the reduction of the Hilbert-Blumenthal-moduli scheme with ...(p)-level structure.
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
On the Shafarevich-Tate group of the jacobian of a quotient of the Fermat curvature.
On the Shintani zeta function for the space of binary quadratic forms.