Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Essen, Arno van den"'
Autor:
Essen, Arno van den, Schoone, Jan
The theorem of Duistermaat and Van der Kallen from 1998 proved the first case of the Mathieu conjecture. Using the theory of Mathieu-Zhao spaces, we can reformulate this theorem as $\operatorname{Ker} L$ is a Mathieu-Zhao space where $L$ is the linea
Externí odkaz:
http://arxiv.org/abs/2305.10062
Autor:
Essen, Arno van den
This is the note for the four lectures given by the author in the ``International Short-School/Conference on Affine Algebraic Geometry and the Jacobian Conjecture" at Chern Institute of Mathematics, Nankai University, Tianjin, China. July 14-25, 2014
Externí odkaz:
http://arxiv.org/abs/1907.06107
Autor:
Essen, Arno van den, van Hove, Loes
We describe all Mathieu-Zhao spaces of $k[x_1,\cdots,x_n]$ ($k$ is an algebraically closed field of characteristic zero) which contains an ideal of finite codimension. Furthermore we give an algorithm to decide if a subspace of the form $I+kv_1+\cdot
Externí odkaz:
http://arxiv.org/abs/1907.06106
Autor:
Castañeda, Álvaro, Essen, Arno van den
The classification of the nilpotent Jacobians with some structure has been an object of study because of its relationship with the Jacobian Conjecture. In this paper we classify the polynomial maps in dimension $n$ of the form $H = (u(x,y), u_2(x,y,x
Externí odkaz:
http://arxiv.org/abs/1804.00584
Autor:
Essen, Arno van den, Zhao, Wenhua
Publikováno v:
J. Pure Appl. Algebra 223 (2019), no. 4, 1689-1698
Some cases of the LFED Conjecture, proposed by the second author [Z3], for certain integral domains are proved. In particular, the LFED Conjecture is completely established for the field of fractions $k(x)$ of the polynomial algebra $k[x]$, the forma
Externí odkaz:
http://arxiv.org/abs/1708.05813
Publikováno v:
Israel J. Math. 219 (2017), no. 2, 917-928
We first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-example to a more general statement known as the Moments Vanishing Conjectur
Externí odkaz:
http://arxiv.org/abs/1506.05192
Autor:
Edo, Eric, Essen, Arno van den
In this paper we present an unexpected link between the Factorial Conjecture and Furter's Rigidity Conjecture. The Factorial Conjecture in dimension $m$ asserts that if a polynomial $f$ in $m$ variables $X_i$ over $\C$ is such that ${\cal L}(f^k)=0$
Externí odkaz:
http://arxiv.org/abs/1304.3956
Autor:
Essen, Arno van den, Zhao, Wenhua
Publikováno v:
J. Pure Appl. Algebra 217 (2013), no. 7, 1316-1324
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals. We then deduce that for some classes of classical univariate orthogonal polynomials the Image Conjecture is true. We also
Externí odkaz:
http://arxiv.org/abs/1012.2017
Publikováno v:
J. Algebra 340 (2011), 211-224
The Image Conjecture was formulated by the third author, who showed that it implied his Vanishing Conjecture, which is equivalent to the famous Jacobian Conjecture. We prove various cases of the Image Conjecture and show how it leads to another fasci
Externí odkaz:
http://arxiv.org/abs/1008.3962
Autor:
Essen, Arno van den
In this paper we discuss a general framework in which we present a new conjecture, due to Wenhua Zhao, the Image Conjecture. This conjecture implies the Generalized Vanishing Conjecture and hence the Jacobian Conjecture. Crucial ingredient is the not
Externí odkaz:
http://arxiv.org/abs/1006.5801