{
  "id": "2002.02069",
  "version": "v1",
  "published": "2020-02-06T02:10:14.000Z",
  "updated": "2020-02-06T02:10:14.000Z",
  "title": "Newton polyhedra and good compactification theorem",
  "authors": [
    "Askold Khovanskii"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "A new transparent proof of the well known good compactification theorem for the complex torus $(\\Bbb C^*)^n$ is presented. This theorem provides a powerful tool in enumerative geometry for subvarieties in the complex torus. The paper also contains an algorithm constructing a good compactification for a subvariety in $(\\Bbb C^*)^n$ explicitly defined by a system of equations. A new theorem on a torodoidal like compactification is stated. A transparent proof of this generalization of the good compactification theorem which is similar to proofs and constructions from this paper will be presented in a forthcoming publication.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-06T02:10:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14T05",
      "14M17"
    ],
    "keywords": [
      "compactification theorem",
      "newton polyhedra",
      "transparent proof",
      "complex torus",
      "subvariety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}