論文

査読有り
2011年6月

BUCHSBAUM VARIETIES WITH NEXT TO SHARP BOUNDS ON CASTELNUOVO-MUMFORD REGULARITY

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Chikashi Miyazaki

139
6
開始ページ
1909
終了ページ
1914
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1090/S0002-9939-2011-10920-1
出版者・発行元
AMER MATHEMATICAL SOC

This paper is devoted to the study of the next extremal case for a Castelnuovo-type bound regV <= inverted right perpendicular(deg V - 1)/codim Vinverted left perpendicular + 1 of the Castelnuovo-Mumford regularity for a nondegenerate Buchsbaum variety V. A Buchsbaum variety with the maximal regularity is known to be a divisor on a variety of minimal degree if the degree of the variety is large enough. We show that a Buchsbaum variety satisfying regV = inverted right perpendicular(deg V - 1)/codim Vinverted left perpendicular is a divisor on a Del Pezzo variety if deg V >> 0.

Web of Science ® 被引用回数 : 1

リンク情報
DOI
https://doi.org/10.1090/S0002-9939-2011-10920-1
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000290642200002&DestApp=WOS_CPL