Two remarks on non-zero constant Jacobian polynomial maps of C2

A ug 2 00 4 Two remarks on non - zero constant Jacobian polynomial map of lC 2 ∗ Nguyen

We present some estimations on geometry of the exceptional value sets of non-zero constant Jacobian polynomial maps of l C and it’s components. 2000 Mathematical Subject Classification: 14 H07, 14R15.

Two remarks on the adjoint polynomial

One can define the adjoint polynomial of the graph G as follows. Let ak(G) denote the number of ways one can cover all vertices of the graph G by exactly k disjoint cliques of G. Then the adjoint polynomial of G is

On strongly Jordan zero-product preserving maps

In this paper, we give a characterization of strongly Jordan zero-product preserving maps on normed algebras as a generalization of  Jordan zero-product preserving maps. In this direction, we give some illustrative examples to show that the notions of strongly zero-product preserving maps and strongly Jordan zero-product preserving maps are completely different. Also, we prove that the direct p...

Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian Conjecture

Remarks on strongly modular Jacobian surfaces

In [3] we introduced the concept of strongly modular abelian variety. This note contains some remarks and examples of this kind of varieties, especially for the case of Jacobian surfaces, that complement the results of [3].