{ "id": "1610.07812", "version": "v1", "published": "2016-10-25T10:06:22.000Z", "updated": "2016-10-25T10:06:22.000Z", "title": "Multi-point Seshadri constants on ruled surfaces", "authors": [ "Krishna Hanumanthu", "Alapan Mukhopadhyay" ], "comment": "11 pages, comments are welcome", "categories": [ "math.AG" ], "abstract": "Let $X$ be a surface and let $L$ be an ample line bundle on $X$. We first obtain a lower bound for the Seshadri constant $\\varepsilon(X,L,r)$, when $r \\ge 3$. We then assume that $X$ is a ruled surface and study Seshadri constants on $X$ in greater detail. We also make precise computations of Seshadri constants on $X$ in some cases.", "revisions": [ { "version": "v1", "updated": "2016-10-25T10:06:22.000Z" } ], "analyses": { "subjects": [ "14C20", "14H50" ], "keywords": [ "multi-point seshadri constants", "ruled surface", "ample line bundle", "study seshadri constants", "lower bound" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }