Segre's Bound and the Case of n+Â 2 Fat Points of n

摘要

First we prove that the locus of all sets of fat points with assigned multiplicities whose regularity index is bounded by the so called Segre's bound is open and strictly contains the non-empty open set given by the locus of the same number of fat points with the same multiplicities and support in general position.Then we prove that the general Segre's bound holds for any set of n + 2 fat points of n .View full textDownload full textKey WordsFat points, Regularity index2000 Mathematics Subject Classification14M05, 13D40Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2010.529093