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Transactions of the American Mathematical Society

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Divisors on Generic Complete Intersections in Projective Space


Author: Geng Xu
Journal: Trans. Amer. Math. Soc. 348 (1996), 2725-2736
MSC (1991): Primary 14J70, 14B07
DOI: https://doi.org/10.1090/S0002-9947-96-01613-3
MathSciNet review: 1348870
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Abstract: Let $V$ be a generic complete intersection of hypersurfaces of degree $d_{1}, d_{2}, \cdots , d_{m}$ in $n$-dimensional projective space. We study the question when a divisor on $V$ is nonrational or of general type, and give an alternative proof of a result of Ein. We also give some improvement of Ein's result in the case $d_{1}+d_{2}+\cdots + d_{m}=n+2$.


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Additional Information

Geng Xu
Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
Email: geng@math.jhu.edu

DOI: https://doi.org/10.1090/S0002-9947-96-01613-3
Received by editor(s): August 5, 1995
Additional Notes: Partially Supported by NSF grant DMS-9401547.
Article copyright: © Copyright 1996 American Mathematical Society

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