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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Uniqueness of varieties of minimal degree containing a given scheme


Author: M. Casanellas
Journal: Trans. Amer. Math. Soc. 356 (2004), 1875-1888
MSC (2000): Primary 14M06, 14M12, 14M05
DOI: https://doi.org/10.1090/S0002-9947-03-03421-4
Published electronically: October 8, 2003
MathSciNet review: 2031044
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Abstract: We prove that if $X \subset \mathbb{P} ^N$ has dimension $k$ and it is $r$-Buchsbaum with $r>\max{(\operatorname{codim}{X}-k,0)}$, then $X$ is contained in at most one variety of minimal degree and dimension $k+1$.


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Additional Information

M. Casanellas
Affiliation: Departament d’Algebra i Geometria, Facultat de Matematiques, Universitat de Barcelona, Gran Via 585, 08007-Barcelona, Spain
Email: casanell@mat.ub.es

DOI: https://doi.org/10.1090/S0002-9947-03-03421-4
Received by editor(s): August 5, 2002
Published electronically: October 8, 2003
Article copyright: © Copyright 2003 American Mathematical Society