Vered Moskowicz

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20112018

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math.AC2018

A variation on Magnus' theorem and its generalizations

Vered Moskowicz

Let $k$ be a field of characteristic zero, and let $f : k [x, y] \to k [x, y]$ , $f : (x, y) \mapsto (p, q)$ , be a $k$ -algebra endomorphism having an invertible Jacobian. Write $p=a_ny^n+\c…

math.AC2018

The two-dimensional Centralizer Conjecture

Vered Moskowicz

A result by C. C.-A. Cheng, J. H. Mckay and S. S.-S. Wang says the following: Suppose the Jacobian of $A$ and $B$ is invertible in $C [x, y]$ and the Jacobian of $A$ and $w$ …

math.AC2016

The two-dimensional Jacobian Conjecture and unique factorization

Vered Moskowicz

The two-dimensional Jacobian Conjecture says that a $C$ -algebra endomorphism $F : C [x, y] \to C [x, y]$ that has an invertible Jacobian is an automorphism. We…

math.AC2015

A new proof of a known special case of the Jacobian Conjecture

Vered Moskowicz

The famous Jacobian Conjecture asks if a morphism $f : K [x, y] \to K [x, y]$ with invertible Jacobian, is invertible ( $K$ is a characteristic zero field). A known result says that if $K[…