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On varieties of almost minimal degree in small codimension


Brodmann, M; Schenzel, P (2006). On varieties of almost minimal degree in small codimension. Journal of Algebra, 305(2):789-801.

Abstract

The present research grew out of the authors' joint work [M. Brodmann, P. Schenzel, Arithmetic properties of projective varieties of almost minimal degree, J. Algebraic Geom., in press]. It continues the study of the structure of projective varieties of almost minimal degree, focusing to the case of small codimension. In particular, we give a complete list of all occurring Betti diagrams in the cases where codimXless-than-or-equals, slant4.

Abstract

The present research grew out of the authors' joint work [M. Brodmann, P. Schenzel, Arithmetic properties of projective varieties of almost minimal degree, J. Algebraic Geom., in press]. It continues the study of the structure of projective varieties of almost minimal degree, focusing to the case of small codimension. In particular, we give a complete list of all occurring Betti diagrams in the cases where codimXless-than-or-equals, slant4.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Language:English
Date:2006
Deposited On:08 Jun 2009 05:54
Last Modified:03 Dec 2023 02:37
Publisher:Elsevier
ISSN:0021-8693
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1016/j.jalgebra.2006.03.027
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2266853
http://arxiv.org/abs/math/0506279v2
  • Content: Accepted Version
  • Description: Accepted manuscript, Version 2
  • Content: Accepted Version
  • Description: Accepted manuscript, Version 1