Equivariantly uniformly rational varieties

On Tangential Varieties of Rational Homogeneous Varieties

We determine which tangential varieties of homogeneously embedded rational homogeneous varieties are spherical. We determine the homogeneous coordinate rings and rings of covariants of the tangential varieties of homogenously embedded compact Hermitian symmetric spaces (CHSS). We give bounds on the degrees of generators of the ideals of tangential varieties of CHSS and obtain more explicit info...

Rational Curves on Varieties

Rational points on varieties

Algebraic Varieties with Rational Dissections.

a set of parallel lathlike strips which extend indefinitely in the direction of the b-axis and which have their common planar surfaces parallel to (101). The co-ordination of the Ca3 (or Na in pectolite) is curious. Its nearest neighbors are the three oxygen atoms 02, 03, and 04. All other oxygen atoms are at distances much greater than the sum of the ionic radii of Ca (or Na) and 0. The Ca3 (o...

Large Rational Torsion on Abelian Varieties

A method of searching for large rational torsion on Abelian varieties is described. A few explicit applications of this method over Q give rational 11and 13-torsion in dimension 2, and rational 29-torsion in dimension 4.