{
  "id": "1410.7410",
  "version": "v1",
  "published": "2014-10-27T20:08:29.000Z",
  "updated": "2014-10-27T20:08:29.000Z",
  "title": "Convergence rate, location and $\\partial_z^2$ condition for fully bubbling solutions to SU(n+1) Toda Systems",
  "authors": [
    "Changshou Lin",
    "Juncheng Wei",
    "Lei Zhang"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP"
  ],
  "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 $\\mathbb C\\mathbb P^n$. 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 $\\partial_z^2$ condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-27T20:08:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J47",
      "35J50"
    ],
    "keywords": [
      "fully bubbling solutions",
      "toda system",
      "convergence rate",
      "riemann surfaces",
      "major sharp estimates important"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1324867,
      "adsabs": "2014arXiv1410.7410L"
    }
  }
}