Abstract
It is well known that the study of SU(n+1) Toda systems is important not only to Chern–Simons models in Physics, but also to the understanding of holomorphic curves, harmonic sequences or harmonic maps from Riemann surfaces to CPn. One major goal in the study of SU(n+1) Toda system on Riemann surfaces is to completely understand the asymptotic behavior of fully bubbling solutions. In this article we use a unified approach to study fully bubbling solutions to general SU(n+1) Toda systems and we prove three major sharp estimates important for constructing bubbling solutions: the closeness of blowup solutions to entire solutions, the location of blowup points and a ∂z2 condition.
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