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On Genera of Smooth Curves in Higher Dimensional Varieties

Jungkai Alfred Chen
Proceedings of the American Mathematical Society
Vol. 125, No. 8 (Aug., 1997), pp. 2221-2225
Stable URL: http://www.jstor.org/stable/2162112
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Genera of Smooth Curves in Higher Dimensional Varieties
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Abstract

We prove that for any smooth projective variety X of dimension ≥ 3, there exists an integer g0 = g0(X), such that for any integer g ≥ g0, there exists a smooth curve C in X with g(C) = g.

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