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math.AG2026
A sharp degree bound in the real Jacobian conjecture
F. Braun, J. Gwoździewicz, F. Fernandes +1
Let be a polynomial map with nowhere zero Jacobian determinant. A long-standing problem is to determine the largest integer such that the c…
math.AG2025
Bifurcations of polynomial functions with diffeomorphic fibers
Francisco Braun, Filipe Fernandes
The phenomena that cause a value of a polynomial function to be a bifurcation one are yet to be described when the fibers have dimension higher than . In this note, the main res…