On heights of multiplicatively dependent algebraic numbers
On Manin's conjecture for a certain singular cubic surface
On the average value of the canonical height in higher dimensional families of elliptic curves
Given an elliptic curve E over a function field K = ℚ(T₁,...,Tₙ), we study the behavior of the canonical height of the specialized elliptic curve with respect to the height of ω ∈ ℚⁿ. We prove that there exists a uniform nonzero lower bound for the average of the quotient over all nontorsion P ∈ E(K).
On the distribution of rational points on certain Kummer surfaces
On the height constant for curves of genus two
On the height constant for curves of genus two, II
On the height of algebraic numbers with real conjugates
On the height of the Sylvester resultant.
On the heights of totally -adic numbers
Bombieri and Zannier established lower and upper bounds for the limit infimum of the Weil height in fields of totally -adic numbers and generalizations thereof. In this paper, we use potential theoretic techniques to generalize the upper bounds from their paper and, under the assumption of integrality, to improve slightly upon their bounds.
On the product of heights of algebraic numbers summing to real numbers
On unlikely intersections of complex varieties with tori