論文

査読有り
2001年12月

Kawachi's invariant for fat points

JOURNAL OF PURE AND APPLIED ALGEBRA
  • N Hara

165
2
開始ページ
201
終了ページ
211
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
ELSEVIER SCIENCE BV

We extend Kawachi's invariant for reduced points on a normal suface to an invariant defined for possibly non-reduced zero-dimensional closed subschemes. (or fat points) on a surface with rational singularities. We give an upper bound of this invariant in terms of the length of the fat point and the discrepancy of the minimal resolution. As an application we prove a Reider-type theorem for k-very ampleness on surfaces with rational singularities. (C) 2001 Elsevier Science B.V. All rights reserved.


リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000172163700007&DestApp=WOS_CPL

エクスポート
BibTeX RIS