The Jacobian Conjecture and Injectivity Conditions
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0626-9
Abstract: One of the aims of this article is to provide a class of polynomial mappings for which the Jacobian conjecture is true. Also, we state and prove several global univalence theorems and present a couple… read more here.
Keywords: injectivity conditions; conjecture injectivity; conjecture; jacobian conjecture ... See more keywords
Some new theoretical and computational results around the Jacobian conjecture
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DOI: 10.1142/s0129167x20500500
Abstract: In this paper, we study a so-called Condition C1 on square matrices with complex coefficients and a weaker Condition C2. For Druzkowski maps Condition C2 is equivalent to the Jacobian conjecture. We show that these… read more here.
Keywords: computational results; conjecture; theoretical computational; jacobian conjecture ... See more keywords
Towards the Jacobian Conjecture
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DOI: 10.1142/s1005386724000282
Abstract: We first show that if there is a counterexample to the two-dimensional Jacobian conjecture, then there exists a nonempty closed smooth affine surface in [Formula: see text] satisfying various properties. Next, we conjecture that such… read more here.
Keywords: jacobian conjecture; conjecture; towards jacobian;