{
  "id": "0805.3732",
  "version": "v1",
  "published": "2008-05-24T00:12:57.000Z",
  "updated": "2008-05-24T00:12:57.000Z",
  "title": "Spectral Curves for Almost-Complex Tori in $ S ^6 $",
  "authors": [
    "Emma Carberry",
    "Erxiao Wang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "To each non-isotropic almost-complex immersion of a 2-torus into $ S ^ 6 $ we associate an algebraic curve, called the spectral curve, and a linear flow in the intersection of two Prym varieties on this spectral curve. We show that generically the spectral curve is smooth and compute the dimension of the moduli space of such curves and of the torus in which the eigenline bundles lie.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-24T00:12:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H70",
      "53C42"
    ],
    "keywords": [
      "spectral curve",
      "almost-complex tori",
      "non-isotropic almost-complex immersion",
      "eigenline bundles lie",
      "algebraic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.3732C"
    }
  }
}