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Kodaira dimension of symmetric powers


Authors: Donu Arapura and Sviatoslav Archava
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
Published electronically: October 1, 2002
MathSciNet review: 1949866
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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
Email: arapura@math.purdue.edu

Sviatoslav Archava
Affiliation: MPI für Mathematik, Vivatgasse 7, D-53111, Bonn, Germany

DOI: https://doi.org/10.1090/S0002-9939-02-06797-7
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
Article copyright: © Copyright 2002 American Mathematical Society

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