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On the existence of pluricanonical forms on varieties with infinite fundamental group
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 6, December 2004
- pp. 1221-1235
- 10.1353/ajm.2004.0051
- Article
- Additional Information
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Abstract
We study the existence of pluricanonical forms on an algebraic variety of general type with infinite fundamental group. We have a nonvanishing of mth plurigenus of the variety by that of a general fibre of the so-called Shafarevich map of the variety.
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