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A defect relation for non-Archimedean analytic curves in arbitrary projective varieties

Author(s): Ta Thi Hoai An
Journal: Proc. Amer. Math. Soc. 135 (2007), 1255-1261.
MSC (2000): Primary 12E05, 11S80, 30D25
Posted: October 27, 2006
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Abstract: If $ f$ is a non-Archimedean analytic curve in a projective variety $ X$ embedded in $ \mathbb{P}^N$ and if $ D_1,\dots,D_q$ are hypersurfaces of $ \mathbb{P}^N$ in general position with $ X,$ then we prove the defect relation:

$\displaystyle \sum_{j=1}^q \delta(f,D_j) \le \dim X. $

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Additional Information:

Ta Thi Hoai An
Affiliation: Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
Email: tthan@math.ac.vn

DOI: 10.1090/S0002-9939-06-08591-1
PII: S 0002-9939(06)08591-1
Received by editor(s): November 21, 2005
Received by editor(s) in revised form: November 28, 2005
Posted: October 27, 2006
Additional Notes: Financial support provided to the author as a Junior Associate by ICTP, Trieste, Italy
Communicated by: Ken Ono
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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