On the Jacobian Conjecture and affine lines
Abstract
We give a necessary and sufficient condition for the Jacobian conjecture, and if polynomials f(x,y) and g(x,y) over an algebraicly closed field of characteristic zero are given, then we give an upper bound of the degree of the field extension (k(x,y): k(f,g)). We also give the number of parallel tangent lines of a line in an affine plane for all but one direction.
Degree
Ph.D.
Advisors
Moh, Purdue University.
Subject Area
Mathematics
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