{
  "id": "2108.08989",
  "version": "v1",
  "published": "2021-08-20T03:55:30.000Z",
  "updated": "2021-08-20T03:55:30.000Z",
  "title": "Standard monomials and invariant theory of arc spaces II: Symplectic group",
  "authors": [
    "Andrew R. Linshaw",
    "Bailin Song"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is the second in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we construct a standard monomial basis for the arc space of the Pfaffian variety over $K$. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the symplectic group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-20T03:55:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F50",
      "14L24"
    ],
    "keywords": [
      "invariant theory",
      "symplectic group",
      "standard monomial basis",
      "standard monomial theory",
      "arc space analogue"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}