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of 60
pro vyhledávání: '"Lu, Huajun"'
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 $d>2,$ $x=(x_1, x_2, \dots, x_r)$ and $y=(y_1, y_2, \dots, y_n)$ are systems of indetermi
Externí odkaz:
http://arxiv.org/abs/2210.03401
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 be effectively applied to its direct sum decompositions. As an applic
Externí odkaz:
http://arxiv.org/abs/2110.07915
Higher degree forms are homogeneous polynomials of degree $d > 2,$ or equivalently symmetric $d$-linear spaces. This paper is mainly concerned about the algebraic structure of the centers of higher degree forms with applications specifically to direc
Externí odkaz:
http://arxiv.org/abs/2009.12014
Publikováno v:
Linear Alg. Appl. 613 (2021) 151--169
We provide simple criteria and algorithms for expressing homogeneous polynomials as sums of powers of independent linear forms, or equivalently, for decomposing symmetric tensors into sums of rank-1 symmetric tensors of linearly independent vectors.
Externí odkaz:
http://arxiv.org/abs/2003.08041
Publikováno v:
In Linear Algebra and Its Applications 15 September 2023 673:160-176
Publikováno v:
In Annals of Hepatology January-February 2022 27(1)
Publikováno v:
In Linear Algebra and Its Applications 15 March 2021 613:151-169
Autor:
Lu, Huajun
Soit E une courbe elliptique sur un corps de valuation discrètecomplet K à corps résiduel algbriquement clos. Alors E a réduction semi-stable surune extension minimale L/K, galoisienne de groupe de Galois G. Soient O_{K}, O_{L} les anneaux de va
Externí odkaz:
http://www.theses.fr/2010BOR14129
Autor:
Lu, Huajun
The difference between the Faltings height of an abelian variety $A$ defined over a number field $k$ and its stable height is measured by the so-called base change conductor. In this paper, we give a uniform bound of the base change conductor in term
Externí odkaz:
http://arxiv.org/abs/1211.0451
Autor:
Liu, Qing, Lu, Huajun
Publikováno v:
J. London Math. Soc, 88 (2013), 899-924
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 integral closure of O_K in L. Denote by X' the minimal regular model
Externí odkaz:
http://arxiv.org/abs/1207.0569