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The Corona Problem [[electronic resource] ] : Connections Between Operator Theory, Function Theory, and Geometry / / edited by Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick
| The Corona Problem [[electronic resource] ] : Connections Between Operator Theory, Function Theory, and Geometry / / edited by Ronald G. Douglas, Steven G. Krantz, Eric T. Sawyer, Sergei Treil, Brett D. Wick |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (235 p.) |
| Disciplina | 515.9 |
| Collana | Fields Institute Communications |
| Soggetto topico |
Functions of complex variables
Operator theory Functional analysis Functions of a Complex Variable Several Complex Variables and Analytic Spaces Operator Theory Functional Analysis |
| ISBN | 1-4939-1255-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick) -- Corona Problem for H^\infty on Riemann Surfaces (A. Brudnyi) -- Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas) -- On the Maximal Ideal Space of a Sarason-Type Algebra on the Unit Ball (J. Eschmeier) -- A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic-Analytic Properties (M. Frentz, A. Sasane) -- The Corona Problem in Several Complex Variables (S.G. Krantz) -- Corona-Type Theorems and Division in Some Function Algebras on Planar Domains (R. Mortini, R. Rupp) -- The Ring of Real-Valued Multivariate Polynomials: An Analyst's Perspective (R. Mortini, R. Rupp) -- Structure in the Spectra of Some Multiplier Algebras (R. Rochberg) -- Corona Solutions Depending Smoothly on Corona Data (S. Treil, B.D. Wick) -- On the Taylor Spectrum of M-Tuples of Analytic Toeplitz Operators on the Polydisk (T.T. Trent). |
| Record Nr. | UNINA-9910299987003321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Current Topics in Pure and Computational Complex Analysis [[electronic resource] /] / edited by Santosh Joshi, Michael Dorff, Indrajit Lahiri
| Current Topics in Pure and Computational Complex Analysis [[electronic resource] /] / edited by Santosh Joshi, Michael Dorff, Indrajit Lahiri |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | New Delhi : , : Springer India : , : Imprint : Birkhäuser, , 2014 |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 515.9 |
| Collana | Trends in Mathematics |
| Soggetto topico |
System theory
Functions of complex variables Approximation theory Operator theory Complex Systems Several Complex Variables and Analytic Spaces Approximations and Expansions Operator Theory |
| ISBN | 81-322-2113-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Boundary Behavior of Univalent Harmonic Mappings: A Survey of Recent Boundary Behavior Results of Univalent Harmonic Mappings -- Chapter 2. Harmonic Univalent Mappings and Minimal Graphs -- Chapter 3. Minimal Surfaces over the Slanted Half Planes, Vertical Strips and Single Slit -- Chapter 4. A Survey on Special Classes of Bazilevic Functions and Related Function Classes -- Chapter 5. Uniqueness of Entire Functions Sharing Certain Values with Derivatives -- Chapter 6. Differential Superordinations and Sandwich-Type Results -- Chapter 7. Starlikeness and Convexity of Certain Integral Transforms by using Duality Technique -- Chapter 8. Enestrom–Kakeya Theorem and Some of Its Generalizations -- Chapter 9. Starlikeness, Convexity and Close-to-Convexity of Harmonic Mappings -- Chapter 10. On Generalized p-Valent Non-Bazilevic Type Functions -- Chapter 11. Integral Mean Estimates for a Polynomial with Restricted Zeros -- Chapter 12. Uniqueness Results for Meromorphic Functions Concerning Small Functions -- Chapter 13. Maxima Polynomial Ranges for a Domain of Intersection of Two Circular Disks. |
| Record Nr. | UNINA-9910299967403321 |
| New Delhi : , : Springer India : , : Imprint : Birkhäuser, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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De Rham Cohomology of Differential Modules on Algebraic Varieties [[electronic resource] /] / by Yves André, Francesco Baldassarri, Maurizio Cailotto
| De Rham Cohomology of Differential Modules on Algebraic Varieties [[electronic resource] /] / by Yves André, Francesco Baldassarri, Maurizio Cailotto |
| Autore | André Yves |
| Edizione | [2nd ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
| Descrizione fisica | 1 online resource (XIV, 241 p.) |
| Disciplina | 514.23 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Algebraic geometry
Functions of complex variables Commutative algebra Commutative rings Algebraic Geometry Several Complex Variables and Analytic Spaces Commutative Rings and Algebras |
| ISBN | 3-030-39719-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Regularity in several variables -- §1 Geometric models of divisorially valued function fields -- §2 Logarithmic differential operators -- §3 Connections regular along a divisor -- §4 Extensions with logarithmic poles -- §5 Regular connections: the global case -- §6 Exponents -- Appendix A: A letter of Ph. Robba (Nov. 2, 1984) -- Appendix B: Models and log schemes -- 2 Irregularity in several variables -- §1 Spectral norms -- §2 The generalized Poincaré-Katz rank of irregularity -- §3 Some consequences of the Turrittin-Levelt-Hukuhara theorem -- §4 Newton polygons -- §5 Stratification of the singular locus by Newton polygons -- §6 Formal decomposition of an integrable connection at a singular divisor -- §7 Cyclic vectors, indicial polynomials and tubular neighborhoods -- 3 Direct images (the Gauss-Manin connection) -- §1 Elementary fibrations -- §2 Review of connections and De Rham cohomology -- §3 Dévissage -- §4 Generic finiteness of direct images -- §5 Generic base change for direct images -- §6 Coherence of the cokernel of a regular connection -- §7 Regularity and exponents of the cokernel of a regular connection -- §8 Proof of the main theorems: finiteness, regularity, monodromy, base change (in the regular case) -- Appendix C: Berthelot’s comparison theorem on OXDX-linear duals -- Appendix D: Introduction to Dwork’s algebraic dual theory -- 4 Complex and p-adic comparison theorems -- §1 Review of analytic connections and De Rham cohomology -- §2 Abstract comparison criteria -- §3 Comparison theorem for algebraic vs.complex-analytic cohomology -- §4 Comparison theorem for algebraic vs. rigid-analytic cohomology (regular coefficients) -- §5 Rigid-analytic comparison theorem in relative dimension one -- §6 Comparison theorem for algebraic vs. rigid-analytic cohomology (irregular coefficients) -- §7 The relative non-archimedean Turrittin theorem -- Appendix E: Riemann’s “existence theorem” in higher dimension, an elementary approach -- References. |
| Record Nr. | UNINA-9910482961503321 |
André Yves
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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De Rham Cohomology of Differential Modules on Algebraic Varieties [[electronic resource] /] / by Yves André, Francesco Baldassarri, Maurizio Cailotto
| De Rham Cohomology of Differential Modules on Algebraic Varieties [[electronic resource] /] / by Yves André, Francesco Baldassarri, Maurizio Cailotto |
| Autore | André Yves |
| Edizione | [2nd ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 |
| Descrizione fisica | 1 online resource (XIV, 241 p.) |
| Disciplina | 514.23 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Algebraic geometry
Functions of complex variables Commutative algebra Commutative rings Algebraic Geometry Several Complex Variables and Analytic Spaces Commutative Rings and Algebras |
| ISBN | 3-030-39719-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Regularity in several variables -- §1 Geometric models of divisorially valued function fields -- §2 Logarithmic differential operators -- §3 Connections regular along a divisor -- §4 Extensions with logarithmic poles -- §5 Regular connections: the global case -- §6 Exponents -- Appendix A: A letter of Ph. Robba (Nov. 2, 1984) -- Appendix B: Models and log schemes -- 2 Irregularity in several variables -- §1 Spectral norms -- §2 The generalized Poincaré-Katz rank of irregularity -- §3 Some consequences of the Turrittin-Levelt-Hukuhara theorem -- §4 Newton polygons -- §5 Stratification of the singular locus by Newton polygons -- §6 Formal decomposition of an integrable connection at a singular divisor -- §7 Cyclic vectors, indicial polynomials and tubular neighborhoods -- 3 Direct images (the Gauss-Manin connection) -- §1 Elementary fibrations -- §2 Review of connections and De Rham cohomology -- §3 Dévissage -- §4 Generic finiteness of direct images -- §5 Generic base change for direct images -- §6 Coherence of the cokernel of a regular connection -- §7 Regularity and exponents of the cokernel of a regular connection -- §8 Proof of the main theorems: finiteness, regularity, monodromy, base change (in the regular case) -- Appendix C: Berthelot’s comparison theorem on OXDX-linear duals -- Appendix D: Introduction to Dwork’s algebraic dual theory -- 4 Complex and p-adic comparison theorems -- §1 Review of analytic connections and De Rham cohomology -- §2 Abstract comparison criteria -- §3 Comparison theorem for algebraic vs.complex-analytic cohomology -- §4 Comparison theorem for algebraic vs. rigid-analytic cohomology (regular coefficients) -- §5 Rigid-analytic comparison theorem in relative dimension one -- §6 Comparison theorem for algebraic vs. rigid-analytic cohomology (irregular coefficients) -- §7 The relative non-archimedean Turrittin theorem -- Appendix E: Riemann’s “existence theorem” in higher dimension, an elementary approach -- References. |
| Record Nr. | UNISA-996418271903316 |
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André Yves
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Deformations of Singularities [[electronic resource] /] / by Jan Stevens
| Deformations of Singularities [[electronic resource] /] / by Jan Stevens |
| Autore | Stevens Jan |
| Edizione | [1st ed. 2003.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Descrizione fisica | 1 online resource (X, 166 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential geometry
Functions of complex variables Algebraic geometry Differential Geometry Several Complex Variables and Analytic Spaces Algebraic Geometry |
| ISBN | 3-540-36464-1 |
| Classificazione |
32S25
32S30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Deformations of singularities -- Standard bases -- Infinitesimal deformations -- Example: the fat point of multiplicity four -- Deformations of algebras -- Formal deformation theory -- Deformations of compact manifolds -- How to solve the deformation equation -- Convergence for isolated singularities -- Quotient singularities -- The projection method -- Formats -- Smoothing components of curves -- Kollár's conjectures -- Cones over curves -- The versal deformation of hyperelliptic cones -- References -- Index. |
| Record Nr. | UNINA-9910144633703321 |
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Stevens Jan
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Deformations of Singularities [[electronic resource] /] / by Jan Stevens
| Deformations of Singularities [[electronic resource] /] / by Jan Stevens |
| Autore | Stevens Jan |
| Edizione | [1st ed. 2003.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Descrizione fisica | 1 online resource (X, 166 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential geometry
Functions of complex variables Algebraic geometry Differential Geometry Several Complex Variables and Analytic Spaces Algebraic Geometry |
| ISBN | 3-540-36464-1 |
| Classificazione |
32S25
32S30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Deformations of singularities -- Standard bases -- Infinitesimal deformations -- Example: the fat point of multiplicity four -- Deformations of algebras -- Formal deformation theory -- Deformations of compact manifolds -- How to solve the deformation equation -- Convergence for isolated singularities -- Quotient singularities -- The projection method -- Formats -- Smoothing components of curves -- Kollár's conjectures -- Cones over curves -- The versal deformation of hyperelliptic cones -- References -- Index. |
| Record Nr. | UNISA-996466588603316 |
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Stevens Jan
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Derivatives of Inner Functions [[electronic resource] /] / by Javad Mashreghi
| Derivatives of Inner Functions [[electronic resource] /] / by Javad Mashreghi |
| Autore | Mashreghi Javad |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina | 620.1 |
| Collana | Fields Institute Monographs |
| Soggetto topico |
Functions of complex variables
Functional analysis Functions of a Complex Variable Functional Analysis Several Complex Variables and Analytic Spaces |
| ISBN |
1-283-90980-4
1-4614-5611-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Derivatives of Inner Functions; Preface; Contents; Chapter 1: Inner Functions; 1.1 The Poisson Integral of a Measure; 1.2 The Hardy Space Hp(D); 1.3 Two Classes of Inner Functions; 1.4 The Canonical Factorization; 1.5 A Characterization of Blaschke Products; 1.6 The Nevanlinna Class N and Its Subclass N+; 1.7 Bergman Spaces; Chapter 2: The Exceptional Set of an Inner Function; 2.1 Frostman Shifts and the Exceptional Set ε; 2.2 Capacity; 2.3 Hausdorff Dimension; 2.4 ε Has Logarithmic Capacity Zero; 2.5 The Cluster Set at a Boundary Point; Chapter 3: The Derivative of Finite Blaschke Products
3.1 Elementary Formulas for B'3.2 The Cardinality of the Zeros of B'; 3.3 A Formula for |B'|; 3.4 The Locus of the Zeros of B' in D; 3.5 B Has a Nonzero Residue; Chapter 4: Angular Derivative; 4.1 Elementary Formulas for B' and S'; 4.2 Some Estimations for Hp-Means; 4.3 Some Estimations for Ap-Means; 4.4 The Angular Derivative; 4.5 The Carathéodory Derivative; 4.6 Another Characterization of the Carathéodory Derivative; Chapter 5: Hp-Means of S'; 5.1 The Effect of Singular Factors; 5.2 A Characterization of Φ' Hp(D); 5.3 We Never Have S' H12(D); 5.4 The Distance Function 10.2 Hp-Means of the First Derivative10.3 Hp-Means of Higher Derivatives; 10.4 Ap-Means of the First Derivative; References; Index |
| Record Nr. | UNINA-9910437874103321 |
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Mashreghi Javad
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dessins d'enfants on Riemann surfaces [[electronic resource] /] / by Gareth A. Jones, Jürgen Wolfart
| Dessins d'enfants on Riemann surfaces [[electronic resource] /] / by Gareth A. Jones, Jürgen Wolfart |
| Autore | Jones Gareth A |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 510 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Algebraic geometry
Group theory Functions of complex variables Hyperbolic geometry Algebraic Geometry Group Theory and Generalizations Functions of a Complex Variable Several Complex Variables and Analytic Spaces Hyperbolic Geometry |
| ISBN | 3-319-24711-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Historical and introductory background -- Graph embeddings -- Dessins and triangle groups -- Galois actions -- Quasiplatonic surfaces, and automorphisms -- Regular maps -- Regular embeddings of complete graphs -- Wilson operations -- Further examples -- Arithmetic aspects -- Beauville surfaces. |
| Record Nr. | UNINA-9910254061303321 |
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Jones Gareth A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields [[electronic resource] /] / by Yuan-Jen Chiang
| Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields [[electronic resource] /] / by Yuan-Jen Chiang |
| Autore | Chiang Yuan-Jen |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2013 |
| Descrizione fisica | 1 online resource (418 p.) |
| Disciplina |
514.74
516.373 |
| Altri autori (Persone) |
EellsJames <1926-2007.>
SampsonJoseph H. <1925-> |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Global analysis (Mathematics)
Manifolds (Mathematics) Differential geometry Partial differential equations Calculus of variations Functions of complex variables Global Analysis and Analysis on Manifolds Differential Geometry Partial Differential Equations Calculus of Variations and Optimal Control; Optimization Several Complex Variables and Analytic Spaces |
| ISBN | 3-0348-0534-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface. 1 Harmonic Maps -- 2 Wave Maps.-3 Yang-Mills Fields -- 4 Biharmonic Maps -- 5 Biwave Maps -- 6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps -- 9. Exponential Yang-Mills Connections -- Index. . |
| Record Nr. | UNINA-9910438143503321 |
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Chiang Yuan-Jen
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| Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Differential and Complex Geometry: Origins, Abstractions and Embeddings [[electronic resource] /] / by Raymond O. Wells, Jr
| Differential and Complex Geometry: Origins, Abstractions and Embeddings [[electronic resource] /] / by Raymond O. Wells, Jr |
| Autore | Wells Jr., Raymond O |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (319 pages) : illustrations (some color) |
| Disciplina | 516.36 |
| Soggetto topico |
Differential geometry
Global analysis (Mathematics) Manifolds (Mathematics) Functions of complex variables Projective geometry Algebraic topology Differential Geometry Global Analysis and Analysis on Manifolds Several Complex Variables and Analytic Spaces Projective Geometry Algebraic Topology |
| ISBN | 3-319-58184-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Part I. Geometry in the Age of Enlightenment -- Algebraic Geometry -- Differential Geometry -- Part II. Differential and Projective Geometry in the Nineteenth Century -- Projective Geometry -- Gauss and Intrinsic Differential Geometry -- Riemann's Higher-Dimensional Geometry -- Part III. Origins of Complex Geometry -- The Complex Plane -- Elliptic and Abelian Integrals -- Elliptic Functions -- Complex Analysis -- Riemann Surfaces -- Complex Geometry at the End of the Nineteenth Century -- Part IV. Twentieth-Century Embedding Theorems -- Differentiable Manifolds -- Riemannian Manifolds -- Compact Complex Manifolds -- Noncompact Complex Manifolds. |
| Record Nr. | UNINA-9910254300303321 |
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Wells Jr., Raymond O
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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