{
  "id": "1907.10690",
  "version": "v1",
  "published": "2019-07-24T20:00:50.000Z",
  "updated": "2019-07-24T20:00:50.000Z",
  "title": "Formality conjecture for minimal surfaces of Kodaira dimension 0",
  "authors": [
    "Ruggero Bandiera",
    "Marco Manetti",
    "Francesco Meazzini"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let F be a polystable sheaf on a smooth minimal projective surface of Kodaira dimension 0. Then the DG-Lie algebra RHom(F,F) of derived endomorphisms of F is formal. The proof is based on the study of equivariant $L_{\\infty}$ minimal models of DG-Lie algebras equipped with a cyclic structure of degree 2 which is non-degenerate in cohomology, and does not rely (even for K3 surfaces) on previous results on the same subject.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-24T20:00:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14D15",
      "16W50",
      "18G55"
    ],
    "keywords": [
      "kodaira dimension",
      "minimal surfaces",
      "formality conjecture",
      "smooth minimal projective surface",
      "dg-lie algebra rhom"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}