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

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Showing math.CVShow all

27 papers · 1 filter

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.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.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.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.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…

math.CV2016★ 10 cited

Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of $P^{n} (C)$

Si Duc Quang, Nguyen Thi Quynh Phuong, Nguyen Thi Nhung

In this article, we establish a truncated non-integrated defect relation for meromorphic mappings from an $m$ -dimensional complete Kähler manifold into $P^{n} (C)$ int…

math.CV2016★ 9 cited

Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position

Si Duc Quang

Let $f$ be an algebraically nondegenerate meromorphic mapping from $C^{m}$ into $P^{n} (C)$ and let $Q_{1}, ..., Q_{q}$ be $q$ hypersurfaces in $\mathbb P^n(\mathbb C)…

math.CV2016★ 37 cited

Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces

Si Duc Quang

The purpose of this paper has twofold. The first is to establish a second main theorem with truncated counting functions for algebraically nondegenerate meromorphic mappings into a…

math.CV2014

Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties

Si Duc Quang, Do Phuong An

Let $V$ be a projective subvariety of $P^{n} (C)$ . A family of hypersurfaces ${Q_{i}}_{i = 1}^{q}$ in $P^{n} (C)$ is said to be in $N$ -subgeneral position wit…

math.CV2014★ 14 cited

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

Si Duc Quang

In this article, we show some new second main theorems for the mappings and moving hyperplanes of $¶^n(\C)$ with truncated counting functions. Our results are improvements of recen…

math.CV2014★ 14 cited

Degeneracy and finiteness theorems for meromorphic mappings in several complex variables

Si Duc Quang

In this article, we prove that there are at most two meromorphic mappings of $C^{m}$ into $P^{n} (C) (n ⩾ 2)$ sharing $2 n + 2$ hyperplanes in general posit…

math.CV2013★ 6 cited

Two meromorphic mappings sharing 2n + 2 hyperplanes regardless of multiplicity

Si Duc Quang, Le Ngoc Quynh

Nevanlinna showed that two non-constant meromorphic functions on $C$ must be linked by a Möbius transformation if they have the same inverse images counted with multiplicit…

math.CV2013★ 1 cited

Second main theorem and uniqueness problem of meromorphic mappings with moving hypersurfaces

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 hypersurfaces with truncated counting…

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

Degenerate Second Main Theorems for Holomorphic Curves in Different Geometric Settings

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

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

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

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

Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of Pn(C)

Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position

Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces

Second main theorem and unicity of meromorphic mappings for hypersurfaces in projective varieties

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

Degeneracy and finiteness theorems for meromorphic mappings in several complex variables

Two meromorphic mappings sharing 2n + 2 hyperplanes regardless of multiplicity

Second main theorem and uniqueness problem of meromorphic mappings with moving hypersurfaces

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

Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of $P^{n} (C)$