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pro vyhledávání: '"Quang, Si Duc"'
Autor:
Quang, Si Duc, Hai, Tran An
The purpose of this paper has twofold. The first is to establish a Cartan-Nochka theorem for holomorphic curves from annuli into projective varieties intersecting hypersurfaces in subgeneral position with truncated counting functions. The second is t
Externí odkaz:
http://arxiv.org/abs/2406.02371
Autor:
Quang, Si Duc
In this paper, we study the uniqueness problem for linearly nondegenerate meromorphic mappings from a K\"{a}hler manifold into $\mathbb P^n(\mathbb C)$ satisfying a condition $(C_\rho)$ and sharing hyperplanes in general position, where the condition
Externí odkaz:
http://arxiv.org/abs/2405.06268
Autor:
Quang, Si Duc
In this paper, we establish a second main theorem for holomorphic maps with finite growth index on complex discs intersecting arbitrary families of hypersurfaces (fixed and moving) in projective varieties, which gives an above bound of the sum of tru
Externí odkaz:
http://arxiv.org/abs/2404.18111
Autor:
Quang, Si Duc
Publikováno v:
J. Math. Math. Sci. Vol. 2 No. 8 (2023)
Let $\mathbb F$ be an algebraically closed field of characteristic $p\ge 0$, which is complete with respect to a non-Archimedean absolute value. Let $V$ be a projective subvariety of $\mathbb P^M(\mathbb F)$. In this paper, we will prove some second
Externí odkaz:
http://arxiv.org/abs/2306.07594
Autor:
Ngoc, Tran Duc, Quang, Si Duc
The purpose of this paper is to establish a non-integrated defect relation for meromorphic mappings from a complete K\"{a}hler manifold into a projective variety intersecting an arbitrary family of hypersurfaces with explicit truncation level. In our
Externí odkaz:
http://arxiv.org/abs/2301.08885
Autor:
Quang, Si Duc
The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace theorem for arbitrary families of higher degree polynomials. The second is to give a generalization of the subspace theorem for arbitrary families of
Externí odkaz:
http://arxiv.org/abs/2212.02471
Autor:
Quang, Si Duc
By introducing the notion of distributive constant for a family of closed subschemes, we establish a general form of the second main theorem for algebraic nondegenerate meromorphic mappings from a generalized $p$-Parabolic manifold into a projective
Externí odkaz:
http://arxiv.org/abs/2212.01889
Autor:
Quang, Si Duc, Hang, Do Thi Thuy
In this article, we study the uniqueness problem for the generalized gauss maps of minimal surfaces (with the same base) immersed in $\mathbb R^{n+1}$ which have the same inverse image of some hypersurfaces in a projective subvariety $V\subset\mathbb
Externí odkaz:
http://arxiv.org/abs/2211.06842
Autor:
Quang, Si Duc
Publikováno v:
Journal of Mathematical Analysis and Applications, Vol. 531, Issue 1 (2024), 127806
Let $A$ be an annular end of a complete minimal surface $S$ in $\mathbb R^m$ and let $V$ be a $k$-dimension projective subvariety of $\mathbb P^n(\mathbb C)\ (n=m-1)$. Let $g$ be the generalized Gauss map of $S$ into $V\subset\mathbb P^n(\mathbb C)$.
Externí odkaz:
http://arxiv.org/abs/2207.10396
Autor:
Quang, Si Duc
This paper has twofold. The first is to establish a second main theorem for meromorphic functions on the complex disc $\Delta (R_0)\subset\mathbb C$ with finite growth index and small functions, where the counting functions are truncated to level $1$
Externí odkaz:
http://arxiv.org/abs/2205.15491