A defect relation for non-Archimedean analytic curves in arbitrary projective varieties-Reference-Cited by-同舟云学术

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

Published:2006-10-27 Issue:5 Volume:135 Page:1255-1261
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

An Ta

Abstract

If f f is a non-Archimedean analytic curve in a projective variety X X embedded in P N \mathbb P^N and if D 1 , … , D q D_1,\dots ,D_q are hypersurfaces of P N \mathbb P^N in general position with X , X, then we prove the defect relation: \[ ∑ j = 1 q δ ( f , D j ) ≤ dim ⁡ X . \sum _{j=1}^q \delta (f,D_j) \le \dim X. \]

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-05/S0002-9939-06-08591-1/S0002-9939-06-08591-1.pdf

Reference7 articles.

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

2. Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem;Cherry, William;Trans. Amer. Math. Soc.,1997

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

4. Mathematics and its Applications;Hu, Pei-Chu,2000

5. Encyclopaedia of Mathematical Sciences;Lang, Serge,1991

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