{
  "id": "math/9901064",
  "version": "v1",
  "published": "1999-01-15T17:10:35.000Z",
  "updated": "1999-01-15T17:10:35.000Z",
  "title": "Degree of the divisor of solutions of a differential equation on a projective variety",
  "authors": [
    "Vicente Muñoz",
    "Ignacio Sols"
  ],
  "comment": "16 pages, Latex2e, uses diagrams package",
  "categories": [
    "math.AG"
  ],
  "abstract": "Using the data schemes developed by Arrondo-Sols-Speiser, we give a rigorous definition of algebraic differential equations on the complex projective space $P^n$. For an algebraic subvariety $S \\subseteq P^n$, we present an explicit formula for the degree of the divisor of solutions of a differential equation on $S$ and give some examples of applications. We extend the technique and result to the real case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-01-15T17:10:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N10",
      "14D20",
      "14M15",
      "14P05"
    ],
    "keywords": [
      "projective variety",
      "algebraic differential equations",
      "algebraic subvariety",
      "real case",
      "explicit formula"
    ],
    "tags": [
      "research tool"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......1064M"
    }
  }
}