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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Kodaira dimension of symmetric powers
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by Donu Arapura and Sviatoslav Archava PDF
Proc. Amer. Math. Soc. 131 (2003), 1369-1372 Request permission

Abstract:

We compute the plurigenera and the Kodaira dimension of the $d$th symmetric power $S^dX$ of a smooth projective variety $X$. As an application we obtain genus estimates for the curves lying on $X$.
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Additional Information
  • Donu Arapura
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • MR Author ID: 26770
  • Email: arapura@math.purdue.edu
  • Sviatoslav Archava
  • Affiliation: MPI für Mathematik, Vivatgasse 7, D-53111, Bonn, Germany
  • Received by editor(s): September 1, 2000
  • Received by editor(s) in revised form: January 9, 2002
  • Published electronically: October 1, 2002
  • Additional Notes: The authors were partially supported by the NSF
  • Communicated by: Michael Stillman
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 1369-1372
  • MSC (2000): Primary 14J40, 14E08
  • DOI: https://doi.org/10.1090/S0002-9939-02-06797-7
  • MathSciNet review: 1949866