15 citations · 25 across the 6 of their papers we have counts for
6 papers
Harrison center and products of sums of powers
Hua-Lin Huang, Lili Liao, Huajun Lu +1
This paper is mainly concerned with identities like \[ (x_1^d + x_2^d + \cdots + x_r^d) (y_1^d + y_2^d + \cdots y_n^d) = z_1^d + z_2^d + \cdots + z_n^d \] where $x=(x_1, x_2…
Centers of Multilinear Forms and Applications
Hua-Lin Huang, Huajun Lu, Yu Ye +1
In this paper we study the center algebras of multilinear forms. It is shown that the center of a nondegenerate multilinear form is a finite dimensional commutative algebra and can…
On Centers and Direct Sum Decompositions of Higher Degree Forms
Hua-Lin Huang, Huajun Lu, Yu Ye +1
Higher degree forms are homogeneous polynomials of degree or equivalently symmetric -linear spaces. This paper is mainly concerned about the algebraic structure of the…
Diagonalizable Higher Degree Forms and Symmetric Tensors
Hua-Lin Huang, Huajun Lu, Yu Ye +1
We provide simple criteria and algorithms for expressing homogeneous polynomials as sums of powers of independent linear forms, or equivalently, for decomposing symmetric tensors i…
Uniform bounds of base change conductors and link with the generalized Szpiro conjecture
Huajun Lu
The difference between the Faltings height of an abelian variety defined over a number field and its stable height is measured by the so-called base change conductor. In th…
Congruences of models of elliptic curves
Qing Liu, Huajun Lu
Let O_K be a discrete valuation ring with field of fractions K and perfect residue field. Let E be an elliptic curve over K, let L/K be a finite Galois extension and let O_L be the…