On the approximate roots of polynomials
We give a simplified approach to the Abhyankar-Moh theory of approximate roots. Our considerations are based on properties of the intersection multiplicity of local curves.
On the Bass-Quillen Conjecture Concerning Projective Modules Over Polynomial Rings.
On the Cohen-Macaulayness of the coordinate ring of certain projective monomial curves.
On the cohomology of a general fiber of a polynomial map
On the construction of explicit solutions to the matrix equation .
On the Defining Equations of Points in General Position in Pn.
On the divisibility of polynomials with integer coefficients.
On the embedding dimension of an affine variety.
On the formal inverse of polynomial endomorphisms
On the Forster-Eisenbud-Evans Conjectures.
On the irreducibility of pure difference binomials.
On the Jacobian conjecture and the configurations of roots.
On the lengths of bad sequences of monomial ideals over polynomial rings
We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.
On the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² and components of polynomial automorphisms of ℂ²
A complete characterization of the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² is given. Moreover, a characterization of a component of a polynomial automorphism of ℂ² (in terms of the Łojasiewicz exponent at infinity) is given.
On the minimal reduction and multiplicity of .
On the multiplicity of .
On the number of generators of modules over Laurent Rings.
On the number of generators of modules over polynomial affine rings.
On the Polynomial Ring over a Mori Domain
On the reduction of Kronecker's modular systems whose elements are functions of two and three variables.