On the Normal Bundle to Abelian Surfaces Embedded in ...4 ( C ) .
On the Normal Bundles of Rational Space Curves.
On the Normal Bundles of Smooth Rational Spaces Curves.
On the not integrally closed subrings of the ring of the Thetanullwerte. II.
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 connected components of real abelian varieties that admit sufficiently many compley multiplications.
On the number of elliptic curves with CM cover large algebraic fields
Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between and or and they give an example where the line goes beween and and another one where the line goes between and .
On the Number of Equations Defining Certain Varieties.
On the Number of Faces of Simplicial Complexes and the Purity of Frobenius.
On the number of non-equivalent differentiable structures on 4-Manifolds.
On the number of ovals of a symmetry of a compact Riemann surfaces.
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 number of prime divisors of the order of elliptic curves modulo p
On the number of singular ponts of a real projective hypersurface.
On the order of the automorphism group of a surface of general type.
On the order three Brauer classes for cubic surfaces
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over ℚ such that Br(S)/Br(ℚ) is a 3-group. Our approach is to associate a Brauer class with every ordered triplet of Galois invariant pairs of Steiner trihedra. We show that all order three Brauer classes may be obtained in this way. To show the effect of the obstruction, we give explicit examples.
On the ordinarity of the maximal real subfield of cyclotomic function fields
The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials m such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
On the osculatory behaviour of higher dimensional projective varieties.
We explore the geometry of the osculating spaces to projective verieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.
On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds.
On the -adic continuation of the logarithmic derivative of certain hypergeometric functions