Buchsbaum varieties with next to sharp bounds on Castelnuovo-Mumford regularity

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Abstract

This paper is devoted to the study of the next extremal case for a Castelnuovo-type bound regV≤⎾(degV-1)/codimV⏋+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=⎾(degV-1)/codimV⏋ is a divisor on a Del Pezzo variety if degV≫0.

Journal

  • Proceedings of the American Mathematical Society

    Proceedings of the American Mathematical Society 139(6), 1909-1914, 2011

    American Mathematical Society

Keywords

Codes

  • NII Article ID (NAID)
    120006697250
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1088-6826
  • Data Source
    IR 
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