Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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.

 

Hypersurfaces cutting out a projective variety
HTML articles powered by AMS MathViewer

by Atsushi Noma PDF
Trans. Amer. Math. Soc. 362 (2010), 4481-4495 Request permission

Abstract:

Let $X$ be a nondegenerate projective variety of degree $d$ and codimension $e$ in a projective space $\mathbb {P}^{N}$ defined over an algebraically closed field. We study the following two problems: Is the length of the intersection of $X$ and a line $L$ in $\mathbb {P}^{N}$ at most $d-e+1$ if $L \not \subseteq X$? Is the scheme-theoretic intersection of all hypersurfaces of degree at most $d-e+1$ containing $X$ equal to $X$? To study the second problem, we look at the locus of points from which $X$ is projected nonbirationally.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 14N05, 14N15
  • Retrieve articles in all journals with MSC (2010): 14N05, 14N15
Additional Information
  • Atsushi Noma
  • Affiliation: Department of Mathematics, Faculty of Education and Human Sciences, Yokohama National University, Yokohama 240-8501, Japan
  • MR Author ID: 315999
  • Email: noma@edhs.ynu.ac.jp
  • Received by editor(s): October 15, 2007
  • Published electronically: April 6, 2010
  • Additional Notes: This work was partially supported by Grant-in-Aid for Scientific Research, Japan Society for the Promotion of Science.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 4481-4495
  • MSC (2010): Primary 14N05, 14N15
  • DOI: https://doi.org/10.1090/S0002-9947-10-05054-3
  • MathSciNet review: 2645037