Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, ISSN 1578-7303, 07/2017, Volume 111, Issue 3, pp. 707 - 718

This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a...

Critical point result | Heisenberg group | Weak solution | Folland–Stein space | Carnot group | Subelliptic equation | EXISTENCE | MATHEMATICS | Folland-Stein space | Mathematics - Analysis of PDEs

Critical point result | Heisenberg group | Weak solution | Folland–Stein space | Carnot group | Subelliptic equation | EXISTENCE | MATHEMATICS | Folland-Stein space | Mathematics - Analysis of PDEs

Journal Article

Mathematische annalen, ISSN 1432-1807, 2017, Volume 370, Issue 1-2, pp. 819 - 839

We prove a parametric Oka principle for equivariant sections of a holomorphic fibre bundle E with a structure group bundle $${{\mathscr {G}}}$$ G on a reduced...

Primary 32M05 | 32E10 | Secondary 14L24 | Mathematics, general | Mathematics | 14L30 | 32Q28 | MATHEMATICS | STEIN-SPACES

Primary 32M05 | 32E10 | Secondary 14L24 | Mathematics, general | Mathematics | 14L30 | 32Q28 | MATHEMATICS | STEIN-SPACES

Journal Article

中国科学：数学英文版, ISSN 1674-7283, 2017, Volume 60, Issue 6, pp. 1077 - 1082

Let Gi be a closed Lie subgroup of U（n）, Ωi be a bounded Gi-invariant domain in Cn which contains 0, and （9（Cn）Gi = C, for i= 1,2. If f ： f21 →2 is...

invariant domain | MATHEMATICS | MATHEMATICS, APPLIED | PROPER HOLOMORPHIC MAPPINGS | CIRCULAR DOMAINS | BERGMAN-KERNEL | biholomorphic mapping | degree of polynomial mapping | AUTOMORPHISMS | group action | Bergman kernel | STEIN-SPACES

invariant domain | MATHEMATICS | MATHEMATICS, APPLIED | PROPER HOLOMORPHIC MAPPINGS | CIRCULAR DOMAINS | BERGMAN-KERNEL | biholomorphic mapping | degree of polynomial mapping | AUTOMORPHISMS | group action | Bergman kernel | STEIN-SPACES

Journal Article

Mathematische Annalen, ISSN 0025-5831, 10/2015, Volume 363, Issue 1-2, pp. 77 - 100

It is shown that any compact semistable quotient of a normal variety by a complex reductive Lie group (in the sense of Heinzner and Snow) is a good quotient....

14L24 | 32M05 | 14L30 | MATHEMATICS | THEOREMS | MORI DREAM SPACES | C-STAR | INVARIANT-THEORY | REDUCTIVE GROUP | STEIN-SPACES

14L24 | 32M05 | 14L30 | MATHEMATICS | THEOREMS | MORI DREAM SPACES | C-STAR | INVARIANT-THEORY | REDUCTIVE GROUP | STEIN-SPACES

Journal Article

Analysis and mathematical physics, ISSN 1664-235X, 2019, Volume 9, Issue 3, pp. 1005 - 1018

Let R be a commutative unital ring. A well-known factorization problem is whether any matrix in $$\mathrm {SL}_n(R)$$ SL n ( R ) is a product of elementary...

32A38 | 30H50 | 32E10 | Stein spaces | 15A16 | Mathematics | Factorization by elementary matrices | Rings of holomorphic functions | 46E25 | Mathematical Methods in Physics | Analysis | 15A54 | Bass stable rank | Products of exponentials | BASS | MATHEMATICS, APPLIED | NUMBER | H-INFINITY | MATHEMATICS | MAPPINGS | DISK | STABLE RANK

32A38 | 30H50 | 32E10 | Stein spaces | 15A16 | Mathematics | Factorization by elementary matrices | Rings of holomorphic functions | 46E25 | Mathematical Methods in Physics | Analysis | 15A54 | Bass stable rank | Products of exponentials | BASS | MATHEMATICS, APPLIED | NUMBER | H-INFINITY | MATHEMATICS | MAPPINGS | DISK | STABLE RANK

Journal Article

Kodai mathematical journal, ISSN 0386-5991, 2017, Volume 40, Issue 1, pp. 143 - 177

We determine all holomorphically separable complex manifolds of dimension p + q which admit smooth envelopes of holomorphy and effective general indefinite...

Indefinite unitary group | holomorphic automorphism | unbounded domain | Unbounded domain | Holomorphic automorphism | MATHEMATICS | BALL | GROUP-THEORETIC CHARACTERIZATION | DIRECT-PRODUCT | COMPLEX EUCLIDEAN-SPACE | STEIN-SPACES

Indefinite unitary group | holomorphic automorphism | unbounded domain | Unbounded domain | Holomorphic automorphism | MATHEMATICS | BALL | GROUP-THEORETIC CHARACTERIZATION | DIRECT-PRODUCT | COMPLEX EUCLIDEAN-SPACE | STEIN-SPACES

Journal Article

International Journal of Mathematics, ISSN 0129-167X, 11/2014, Volume 25, Issue 12, pp. 1450112 - 1-1450112-15

In this paper, we study the holomorphic extension of separately (⋅, W)-holomorphic functions from a product of a $\widetilde{L}$ -regular compact subset in a...

holomorphic extension | Holomorphic functions | cross theorem | Stein spaces | topological linear invariants | MATHEMATICS | GERMS | SPACES | HOLOMORPHIC-FUNCTIONS | ANALYTIC-FUNCTIONS | Functions (mathematics) | Theorems | Singularities | Mathematical analysis

holomorphic extension | Holomorphic functions | cross theorem | Stein spaces | topological linear invariants | MATHEMATICS | GERMS | SPACES | HOLOMORPHIC-FUNCTIONS | ANALYTIC-FUNCTIONS | Functions (mathematics) | Theorems | Singularities | Mathematical analysis

Journal Article

Journal of Geometric Analysis, ISSN 1050-6926, 10/2008, Volume 18, Issue 4, pp. 1127 - 1132

Let X be a connected normal Stein space of pure dimension daY=2 with finitely many isolated singularities. By solving a weighted [line over (term)][partial...

Hartogs' extension theorem | Singular Stein spaces

Hartogs' extension theorem | Singular Stein spaces

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2016, Volume 18, Issue 11, pp. 2511 - 2543

We prove that every reduced Stein space admits a holomorphic function without critical points. Furthermore, every closed discrete subset of a reduced Stein...

Stein manifolds | Holomorphic functions | 1-Convex manifolds | Critical points | Stein spaces | Stratifications | MATHEMATICS, APPLIED | stratifications | COMPLEX-SPACES | INVARIANT | RIEMANN SURFACES | C-2 | critical points | CURVES | MATHEMATICS | 1-convex manifolds | MANIFOLDS | DOMAINS | Mathematics - Complex Variables

Stein manifolds | Holomorphic functions | 1-Convex manifolds | Critical points | Stein spaces | Stratifications | MATHEMATICS, APPLIED | stratifications | COMPLEX-SPACES | INVARIANT | RIEMANN SURFACES | C-2 | critical points | CURVES | MATHEMATICS | 1-convex manifolds | MANIFOLDS | DOMAINS | Mathematics - Complex Variables

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 02/2012, Volume 140, Issue 2, pp. 575 - 580

Let X p:\tilde X\to X does not contain an infinite Nori string of rational curves, then \tilde X

Mathematical manifolds | Property titles | Analytic functions | Exhaustion | Mathematics | Mathematical surfaces | Mathematical functions | Continuous functions | Topological spaces | 1-convex spaces | Discrete disk property | Stein spaces | Holomorphically convex spaces | holomorphically convex spaces | MATHEMATICS | MATHEMATICS, APPLIED | discrete disk property

Mathematical manifolds | Property titles | Analytic functions | Exhaustion | Mathematics | Mathematical surfaces | Mathematical functions | Continuous functions | Topological spaces | 1-convex spaces | Discrete disk property | Stein spaces | Holomorphically convex spaces | holomorphically convex spaces | MATHEMATICS | MATHEMATICS, APPLIED | discrete disk property

Journal Article

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, ISSN 1370-1444, 01/2014, Volume 21, Issue 1, pp. 185 - 191

We investigate when the group SLn (O(X)) of holomorphic maps from a Stein space X to SLn (C) has Kazhdan's property (T) for n >= 3. This provides a new class...

MATHEMATICS | FACTORIZATION | special linear group | DIMENSION | Stein manifold | MAPPINGS | Kazhdan property | EMBEDDINGS | STEIN-SPACES | Manifolds (Mathematics) | Analysis | Group theory | Mappings (Mathematics) | 32M05 | 32M25 | 22D10 | 18F25

MATHEMATICS | FACTORIZATION | special linear group | DIMENSION | Stein manifold | MAPPINGS | Kazhdan property | EMBEDDINGS | STEIN-SPACES | Manifolds (Mathematics) | Analysis | Group theory | Mappings (Mathematics) | 32M05 | 32M25 | 22D10 | 18F25

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2010, Volume 362, Issue 6, pp. 3243 - 3271

We investigate algebraicity properties of quotients of complex spaces by complex reductive Lie groups G. We obtain a projectivity result for compact momentum...

Algebraic structure | Algebra | Mathematical theorems | Analytic functions | Quotients | Lie groups | Linear algebra | Rational functions | Meromorphic functions | MATHEMATICS | ALGEBRAIC VARIETY | REPRESENTATIONS | SINGULARITIES | THEOREMS | RESOLUTION | MOMENT MAP | MULTIPLICITIES | SHEAVES | STEIN-SPACES | SYMPLECTIC REDUCTION

Algebraic structure | Algebra | Mathematical theorems | Analytic functions | Quotients | Lie groups | Linear algebra | Rational functions | Meromorphic functions | MATHEMATICS | ALGEBRAIC VARIETY | REPRESENTATIONS | SINGULARITIES | THEOREMS | RESOLUTION | MOMENT MAP | MULTIPLICITIES | SHEAVES | STEIN-SPACES | SYMPLECTIC REDUCTION

Journal Article

Annali della Scuola Normale - Classe di Scienze, ISSN 0391-173X, 2011, Volume 10, Issue 2, pp. 413 - 426

We prove that rational and 1-rational singularities of complex spaces are stable under taking quotients by holomorphic actions of reductive and compact Lie...

MATHEMATICS | REDUCTIVE GROUPS | PROJECTIVITY | STEIN-SPACES

MATHEMATICS | REDUCTIVE GROUPS | PROJECTIVITY | STEIN-SPACES

Journal Article

Asian Journal of Mathematics, ISSN 1093-6106, 2013, Volume 17, Issue 1, pp. 1 - 16

In this paper, we first derive a CR Bochner identity for the pseudoharmonic map heat flow on pseudohermitian manifolds. Secondly, we are able to prove...

Pseudoharmonic map | CR Bochner identity | Pseudoharmonic map heat flow | Sub-Laplacian | Energy density | Pseudohermitian Ricci tensors | Pseudohermitian torsion | Pseudohermitian manifold | Folland-Stein space | MATHEMATICS, APPLIED | energy density | HARMONIC MAPS | pseudohermitian Ricci tensors | MATHEMATICS | CR MANIFOLDS | pseudoharmonic map | pseudoharmonic map heat flow | pseudohermitian manifold | sub-Laplacian | pseudohermitian torsion | 32V20 | 53C56 | 32V05 | heat flow

Pseudoharmonic map | CR Bochner identity | Pseudoharmonic map heat flow | Sub-Laplacian | Energy density | Pseudohermitian Ricci tensors | Pseudohermitian torsion | Pseudohermitian manifold | Folland-Stein space | MATHEMATICS, APPLIED | energy density | HARMONIC MAPS | pseudohermitian Ricci tensors | MATHEMATICS | CR MANIFOLDS | pseudoharmonic map | pseudoharmonic map heat flow | pseudohermitian manifold | sub-Laplacian | pseudohermitian torsion | 32V20 | 53C56 | 32V05 | heat flow

Journal Article

Publications of the Research Institute for Mathematical Sciences, ISSN 0034-5318, 2012, Volume 48, Issue 2, pp. 409 - 417

We prove that for a germ of normal isolated singularity (Y, y(0)) obtained by contracting a curve, if the fundamental group of the link singularity is infinite...

1-convex manifold | Stein space | q-complete space | MATHEMATICS | VARIETIES | COMPLEX-SPACES

1-convex manifold | Stein space | q-complete space | MATHEMATICS | VARIETIES | COMPLEX-SPACES

Journal Article

Complex Variables and Elliptic Equations: Complex and almost complex analysis and geometry, ISSN 1747-6933, 11/2013, Volume 58, Issue 11, pp. 1517 - 1525

A complex space X is in class G if it is a semistable quotient of the complement to an analytic subset of a Stein manifold by a holomorphic action of a...

pseudoconvex domain | envelope of holomorphy | Stein manifold | semistable quotient | MATHEMATICS | HOLOMORPHY | DOMAINS | STEIN-SPACES | Lie groups | Manifolds | Complement | Complex variables | Quotients | Mathematical analysis

pseudoconvex domain | envelope of holomorphy | Stein manifold | semistable quotient | MATHEMATICS | HOLOMORPHY | DOMAINS | STEIN-SPACES | Lie groups | Manifolds | Complement | Complex variables | Quotients | Mathematical analysis

Journal Article

Advances in Mathematics, ISSN 0001-8708, 2010, Volume 224, Issue 2, pp. 401 - 431

Given an action of a complex reductive Lie group G on a normal variety X, we show that every analytically Zariski-open subset of X admitting an analytic...

GIT | Group actions on algebraic varieties | Kähler quotients | Momentum maps | MATHEMATICS | REPRESENTATIONS | PROJECTIVITY | Kahler quotients | MULTIPLICITIES | SHEAVES | SYMPLECTIC REDUCTION | STEIN-SPACES

GIT | Group actions on algebraic varieties | Kähler quotients | Momentum maps | MATHEMATICS | REPRESENTATIONS | PROJECTIVITY | Kahler quotients | MULTIPLICITIES | SHEAVES | SYMPLECTIC REDUCTION | STEIN-SPACES

Journal Article

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9947, 01/2017, Volume 369, Issue 1, pp. 517 - 536

In the present paper, we prove the following result generalizing some well-known related results about biholomorphic or proper holomorphic mappings between...

MATHEMATICS | PSEUDOCONVEX DOMAINS | CIRCULAR DOMAINS | IMAGES | BEHAVIOR | RIGIDITY | CORRESPONDENCES | AUTOMORPHISMS | BOUNDARY-REGULARITY | STEIN-SPACES

MATHEMATICS | PSEUDOCONVEX DOMAINS | CIRCULAR DOMAINS | IMAGES | BEHAVIOR | RIGIDITY | CORRESPONDENCES | AUTOMORPHISMS | BOUNDARY-REGULARITY | STEIN-SPACES

Journal Article

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