Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format 		Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 2276632
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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. $

References:

[C]
CHERRY, W., Hyperbolic $ p$-adic analytic spaces, Ph.D. thesis, Yale University, 1993.

[CY]
CHERRY, W. and YE, Z., Non-Archimedean Nevanlinaa theory in several variables and the non-Archimedean Nevanlinna inverse problem, Trans. Amer. Math. Soc. 349 (1997), 5043-5071. MR 1407485 (98c:11072)

[EF]
EVERTSE, J.-H. and FERRETTI R. G., A generalization of the Subspace Theorem with polynomials of higher degree, Preprint arXiv:math.NT/0408381.

[HY]
HU, P.-C. and YANG, C.-C., Meromorphic functions over non-Archimedean fields, Kluwer, 2000. MR 1794326 (2002a:11085)

[L]
LANG, S., Number Theory III, Encyclopedia of Mathematical Sciences 60, Springer-Verlag, 1991. MR 1112552 (93a:11048)

[R]
RU, M., A note on $ p$-adic nevanlinna theory, Proc. Amer. Math. Soc. 129 (2001), 1263-1269. MR 1712881 (2001h:11097)

[W]
VAN DER WAERDEN, B. L., Algebra, Vol. 2, 7th ed., Springer-Verlag, New York, 1991. MR 1080173 (91h:00009b)

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 12E05, 11S80, 30D25

Retrieve articles in all Journals with MSC (2000): 12E05, 11S80, 30D25

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.




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia