{
  "id": "1804.07685",
  "version": "v1",
  "published": "2018-04-20T15:44:44.000Z",
  "updated": "2018-04-20T15:44:44.000Z",
  "title": "Vanishing estimates for fully bubbling solutions of $SU(n+1)$ Toda Systems at a singular source",
  "authors": [
    "Lei Zhang"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "For Gauss curvature equation (or more general Toda systems) defined on two dimensional spaces, the vanishing rate of certain curvature functions on blowup points is a key estimate for numerous applications. However, if these equations have singular sources, very few vanishing estimates can be found. In this article we consider a Toda system with singular sources defined on a Riemann surface and we prove a very surprising vanishing estimates and a reflection phenomenon for certain functions involving the Gauss curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-20T15:44:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J47",
      "35J60"
    ],
    "keywords": [
      "singular source",
      "vanishing estimates",
      "fully bubbling solutions",
      "gauss curvature equation",
      "general toda systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}