Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Uniqueness of varieties of minimal degree containing a given scheme
HTML articles powered by AMS MathViewer

by M. Casanellas PDF
Trans. Amer. Math. Soc. 356 (2004), 1875-1888 Request permission

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 $k+1$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14M06, 14M12, 14M05
  • Retrieve articles in all journals with MSC (2000): 14M06, 14M12, 14M05
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
  • Received by editor(s): August 5, 2002
  • Published electronically: October 8, 2003
  • © Copyright 2003 American Mathematical Society
  • 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
  • MathSciNet review: 2031044