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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.

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Geometric properties of the double-point divisor
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by Bo Ilic PDF
Trans. Amer. Math. Soc. 350 (1998), 1643-1661 Request permission

Abstract:

The locus of double points obtained by projecting a variety $X^{n} \subset \mathbf {P}^N$ to a hypersurface in $\mathbf {P}^{n+1}$ moves in a linear system which is shown to be ample if and only if $X$ is not an isomorphic projection of a Roth variety. Such Roth varieties are shown to exist, and some of their geometric properties are determined.
References
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Additional Information
  • Bo Ilic
  • Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
  • Address at time of publication: Department of Mathematics, University of California, Los Angeles, California 90024
  • Email: ilic@math.ucla.edu
  • Received by editor(s): July 20, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 1643-1661
  • MSC (1991): Primary 14N05, 14C20, 14J40
  • DOI: https://doi.org/10.1090/S0002-9947-98-01928-X
  • MathSciNet review: 1422899