S. Quang

activity

20102026

most citedDegeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces

37 citations · 157 across the 34 of their papers we have counts for

collaborators

37 papers

math.DG2026

Total curvature of a complete minimal surface and the modified defect relation of a Fermat hypersurface for the Gauss map

Si Duc Quang, Nguyen Thi Quynh Chi

In this paper, we establish some modified defect relations for the Gauss map $g$ of a complete minimal surface $S \subset R^{m}$ into $P^{n} (C) (n = m - 1)$ with onl…

math.CV2026

Characteristic functions of two meromorphic functions weakly sharing three small functions with bi-weights

Si Duc Quang, Phung Nguyen Ngoc Anh

Two meromorphic functions $f$ and $g$ are said to weakly share a small function $a$ with bi-weight $(n, k)$ if the functions $f - a$ and $g - a$ have the same zeros with multiplicities…

math.CV2026

Meromorphic functions bi-weighted weakly sharing pairs of small functions

Si Duc Quang, Phung Nguyen Ngoc Anh

Two meromorphic functions $f$ and $g$ are said to weakly share a small function $a$ with bi-weight $(n, k)$ if the functions $f - a$ and $g - a$ have the same zeros with multiplicities…

math.CV2026

Meromorphic mappings into projective varieties intersecting arbitrary families of moving hypersurfaces

Si Duc Quang, Nguyen Linh Chi

In this paper, we establish a general second main theorem for meromorphic mappings from $C^{m}$ into a subvariety $V$ of $P^{n} (C)$ with respect to an arbitrary…

math.CV2026

A Brownian-Motion Approach to the Second Main Theorem for Meromorphic Mappings and Hypersurfaces with Truncated Counting Functions

Nguyen Linh Chi, Si Duc Quang

By using Brownian motion and stochastic calculus, we establish a second main theorem for holomorphic curves into a projective subvariety $V \subset P^{n} (C)$ with an ar…

math.NT2025

Finiteness criteria for the solutions of a sequence of decomposable form inequalities

Si Duc Quang

In this paper, we give a finiteness criterion for the solutions of the sequence of semi- $q$ -decomposable form equations and inequalities, where the semi- $q$ -decomposable form is fa…

math.CV2024

Degenerate Second Main Theorems for Holomorphic Curves in Different Geometric Settings

Si Duc Quang, Nguyen Van An, Tran An Hai

We establish second main theorems for holomorphic curves into a projective subvary $V \subset P^{n} (C)$ of dimension $k$ , intersecting hypersurfaces in $N$ -subgener…

math.CV2024

Meromorphic mappings on Kähler manifolds weakly sharing hyperplanes in $P^{n} (C)$

Si Duc Quang

In this paper, we study the uniqueness problem for linearly nondegenerate meromorphic mappings from a Kähler manifold into $P^{n} (C)$ satisfying a condition $(C_{ρ})$ a…

math.AG2023★ 1 cited

Truncated second main theorem for non-Archimedean meromorphic maps

Si Duc Quang

Let $F$ be an algebraically closed field of characteristic $p \geq 0$ , which is complete with respect to a non-Archimedean absolute value. Let $V$ be a projective subvariety…

math.NT2022

Some generalizations of Schmidt's subspace theorem

Si Duc Quang

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 gi…

math.DG2022

On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety

Si Duc Quang, Do Thi Thuy Hang

In this article, we study the uniqueness problem for the generalized gauss maps of minimal surfaces (with the same base) immersed in $R^{n + 1}$ which have the same inverse i…

math.AG2022

Modified defect relation of Gauss maps on annular ends of minimal surfaces for hypersurfaces of projective varieties in subgeneral position

Si Duc Quang

Let $A$ be an annular end of a complete minimal surface $S$ in $R^{m}$ and let $V$ be a $k$ -dimension projective subvariety of $P^{n} (C) (n = m - 1)$ . Let $g$ be t…

math.CV2022

Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc

Si Duc Quang

This paper has twofold. The first is to establish a second main theorem for meromorphic functions on the complex disc $Δ (R_{0}) \subset C$ with finite growth index and small fu…

math.CV2021★ 1 cited

Holomorphic maps from complex discs intersecting families of hypersurfaces

Si Duc Quang

In this paper, we establish second main theorems for holomorphic maps with finite growth index on complex discs intersecting families of hypersurfaces (moving and fixed) in project…

math.DG2021

Modified defect relation for Gauss maps of minimal surfaces with hypersurfaces of projective varieties in subgeneral position

Si Duc Quang

In this paper, we establish some modified defect relations for the Gauss map $g$ of a complete minimal surface $S \subset R^{m}$ into a $k$ -dimension projective subvariety $V\s…

math.CV2020★ 16 cited

Generalizations of degeneracy second main theorem and Schmidt's subspace theorem

Si Duc Quang

In this paper, by introducing the notion of "\textit{distributive constant}" of a family of hypersurfaces with respect to a projective variety, we prove a second main theorem in Ne…

math.CV2020

Degeneracy theorems for meromorphic mappings of a complete Kähler manifold sharing hyperplanes in a projective space

Si Duc Quang

Let $M$ be a complete Kähler manifold, whose universal covering is biholomorphic to a ball $B^{m} (R_{0})$ in $C^{m}$ ( $0 < R_{0} \leq + \infty$ ). In this article, we will show t…

math.CV2020

Algebraic dependence and finiteness problems of differentiably nondegenerate meromorphic mappings on Kähler manifolds

Si Duc Quang

Let $M$ be a complete Kähler manifold, whose universal covering is biholomorphic to a ball $B^{m} (R_{0})$ in $C^{m}$ ( $0 < R_{0} \leq + \infty$ ). Our first aim in this paper is…

math.CV2019

Nevanlinna theory for holomorphic curves from annuli into semi Abelian varieties

Si Duc Quang

In this paper, we prove a lemma on logarithmic derivative for holomorphic curves from annuli into Kähler compact manifold and. As its application, a second main theorem for holomop…

math.CV2019★ 4 cited

Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes

Si Duc Quang

Let $M$ be a complete Kähler manifold, whose universal covering is biholomorphic to a ball $B^{m} (R_{0})$ in $C^{m}$ ( $0 < R_{0} \leq + \infty$ ). In this article, we will show t…

math.CV2018★ 4 cited

Generalization of uniqueness theorem for meromorphic mappings sharing hyperplanes

Si Duc Quang

In this article, by introducing a new method in estimating the counting function of the auxiliary function, we prove a new generalization of uniqueness theorems for meromorphic map…

math.NT2018★ 2 cited

Quantitative subspace theorem and general form of second main theorem for higher degree polynomials

Si Duc Quang

This paper deals with the quantitative Schmidt's subspace theorem and the general from of the second main theorem, which are two correspondence objects in Diophantine approximation…

math.CV2018★ 17 cited

Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions

Si Duc Quang

In this article, we establish some new second main theorems for meromorphic mappings of $C^{m}$ into $P^{n} (C)$ and moving hyperplanes with truncated counting f…

math.CV2017★ 1 cited

Non-integrated defect relation for meromorphic mappings from a Kähler manifold with hypersurfaces of a projective variety in subgeneral position

Si Duc Quang, Le Ngoc Quynh, Nguyen Thi Nhung

In this paper, we establish a truncated non-integrated defect relation for meromorphic mappings from a complete Kähler manifold into a projective variety intersecting a family of h…

Total curvature of a complete minimal surface and the modified defect relation of a Fermat hypersurface for the Gauss map

Characteristic functions of two meromorphic functions weakly sharing three small functions with bi-weights

Meromorphic functions bi-weighted weakly sharing pairs of small functions

Meromorphic mappings into projective varieties intersecting arbitrary families of moving hypersurfaces

A Brownian-Motion Approach to the Second Main Theorem for Meromorphic Mappings and Hypersurfaces with Truncated Counting Functions

Finiteness criteria for the solutions of a sequence of decomposable form inequalities

Degenerate Second Main Theorems for Holomorphic Curves in Different Geometric Settings

Meromorphic mappings on Kähler manifolds weakly sharing hyperplanes in Pn(C)

Truncated second main theorem for non-Archimedean meromorphic maps

Some generalizations of Schmidt's subspace theorem

On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety

Modified defect relation of Gauss maps on annular ends of minimal surfaces for hypersurfaces of projective varieties in subgeneral position

Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc

Holomorphic maps from complex discs intersecting families of hypersurfaces

Modified defect relation for Gauss maps of minimal surfaces with hypersurfaces of projective varieties in subgeneral position

Generalizations of degeneracy second main theorem and Schmidt's subspace theorem

Degeneracy theorems for meromorphic mappings of a complete Kähler manifold sharing hyperplanes in a projective space

Algebraic dependence and finiteness problems of differentiably nondegenerate meromorphic mappings on Kähler manifolds

Nevanlinna theory for holomorphic curves from annuli into semi Abelian varieties

Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes

Generalization of uniqueness theorem for meromorphic mappings sharing hyperplanes

Quantitative subspace theorem and general form of second main theorem for higher degree polynomials

Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions

Non-integrated defect relation for meromorphic mappings from a Kähler manifold with hypersurfaces of a projective variety in subgeneral position

Meromorphic mappings on Kähler manifolds weakly sharing hyperplanes in $P^{n} (C)$