{
  "id": "1702.01822",
  "version": "v1",
  "published": "2017-02-06T23:38:35.000Z",
  "updated": "2017-02-06T23:38:35.000Z",
  "title": "Indecomposable branched coverings over the projective plane by surfaces $M$ with $χ(M) \\leq 0$",
  "authors": [
    "Natalia A. Viana Bedoya",
    "Daciberg Lima Gonçalves",
    "Elena Kudryavtseva"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this work we study the decomposability property of branched coverings of degree $d$ odd, over the projective plane, where the covering surface has Euler characteristic $\\leq 0$. The latter condition is equivalent to say that the defect of the covering is greater than $d$. We show that, given a datum $\\mathscr{D}=\\{D_{1},\\dots,D_{s}\\}$ with an even defect greater than $d$, it is realizable by an indecomposable branched covering over the projective plane. The case when $d$ is even is known.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-06T23:38:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective plane",
      "indecomposable branched covering",
      "decomposability property",
      "euler characteristic",
      "defect greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}