Hodge classes on self-products of a variety with an automorphism
On Hodge structures and non-representability of Chow groups
Bounds for rational points on twists of constant hyperelliptic curves.
Produkte Abelscher Varietäten und Moduln über Ordnungen.
On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle.
Some examples of torsion in the Griffiths group.
Algebraic Cycles on Certain Desingularized Nodal Hypersurfaces.
On Fiber Products of Rational Elliptic Surfaces with Section.
On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field
Cycles, L-functions and triple products of elliptic curves.
The modified diagonal cycle on the triple product of a pointed curve
Let be a curve over a field with a rational point . We define a canonical cycle . Suppose that is a number field and that has semi-stable reduction over the integers of with fiber components non-singular. We construct a regular model of and show that the height pairing is well defined where and are correspondences. The paper ends with a brief discussion of heights and -functions in the case that is a modular curve.
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