{ "id": "1201.4508", "version": "v1", "published": "2012-01-21T21:08:37.000Z", "updated": "2012-01-21T21:08:37.000Z", "title": "Normal projective varieties of degree 5", "authors": [ "Andrea Luigi Tironi" ], "categories": [ "math.AG" ], "abstract": "We list the irreducible reduced and not degenerate normal projective varieties $X\\subset\\mathbb{P}^N$ of dimension $n$ and degree five defined over an algebraically closed field $k$ of char$(k) = 0$. In the smooth case, or when $n = 2$, we give also classification results for any algebraically closed field $k$ of char$(k) \\geq 0$.", "revisions": [ { "version": "v1", "updated": "2012-01-21T21:08:37.000Z" } ], "analyses": { "keywords": [ "algebraically closed field", "degenerate normal projective varieties", "smooth case", "classification results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }