{
  "id": "1701.09155",
  "version": "v1",
  "published": "2017-01-31T17:55:42.000Z",
  "updated": "2017-01-31T17:55:42.000Z",
  "title": "Motivic zeta functions of degenerating Calabi-Yau varieties",
  "authors": [
    "Lars Halvard Halle",
    "Johannes Nicaise"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We study motivic zeta functions of degenerating families of Calabi-Yau varieties. Our main result says that they satisfy an analog of Igusa's monodromy conjecture if the family has a so-called Galois-equivariant Kulikov model; we provide several classes of examples where this condition is verified. We also establish a close relation between the zeta function and the skeleton that appeared in Kontsevich and Soibelman's non-archimedean interpretation of the SYZ conjecture in mirror symmetry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-31T17:55:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerating calabi-yau varieties",
      "study motivic zeta functions",
      "soibelmans non-archimedean interpretation",
      "galois-equivariant kulikov model",
      "igusas monodromy conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}