Hodge theory / / edited by Eduardo Cattani [and three others] ; Patrick Brosnan [and thirteen others], contributors |
Autore | Cattani Eduardo |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2014 |
Descrizione fisica | 1 online resource (608 p.) |
Disciplina | 514.223 |
Collana | Mathematical Notes |
Soggetto topico | Manifolds (Mathematics) |
Soggetto non controllato |
Abel–Jacobi map
Adélic lemmas Albanese kernel Bloch–Beilinson conjecture Chow groups Decomposition theorem Deligne cohomology Deligne's theorem Galois action Griffiths group Griffiths' period map Grothendieck's theorem Hermitian structures Hermitian symmetric domains Hodge bundles Hodge cycles Hodge structure Hodge structures Hodge theory Hodge-theoretic interpretations Jacobian ideal Kodaira–Spencer map Kuga–Satake correspondence Kähler manifolds Kähler structures Lefschetz decomposition Poincaré residues Schmid's orbit theorems Shimura varieties Thom–Whitney results Torelli theorem Verdier duality absolute Hodge classes abstract variations algebraic cycles algebraic equivalence algebraic homology algebraic maps algebraic varieties algebraicity asymptotic behavior coherent sheaves cohomology compact Kähler manifolds complex manifolds complex multiplication conjectural filtration contemporary mathematics cycle class cycle map de Rham cohomology de Rham theorem differential forms elliptic curves equivalence relations harmonic forms holomorphicity homological equivalence horizontal distribution horizontality hypercohomology hypersurfaces intersection cohomology complex intersection cohomology groups invariant cycle theorem linear algebra local systems mixed Hodge complex mixed Hodge structure mixed Hodge structures monodromy morphisms nontrivial topological constraints normal functions period domains period mappings sheaf cohomology smooth case smooth projective varieties spectral sequences spread philosophy spreads symplectic structures tangent space topological invariants variational Hodge conjecture Čech cohomology |
ISBN | 1-4008-5147-5 |
Classificazione | SI 850 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contributors -- Contents -- Preface -- Chapter One. Introduction to Kähler Manifolds / Cattani, Eduardo -- Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem / El Zein, Fouad / Tu, Loring W. -- Chapter Three. Mixed Hodge Structures / Zein, Fouad El / Tráng, Lê Dũng -- Chapter Four. Period Domains and Period Mappings / Carlson, James -- Chapter Five. The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Six The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Seven. Introduction to Variations of Hodge Structure / Cattani, Eduardo -- Chapter Eight. Variations of Mixed Hodge Structure / Brosnan, Patrick / Zein, Fouad El -- Chapter Nine. Lectures on Algebraic Cycles and Chow Groups / Murre, Jacob -- Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles / Green, Mark L. -- Chapter Eleven. Notes on Absolute Hodge Classes / Charles, François / Schnell, Christian -- Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective / Kerr, Matt -- Bibliography -- Index |
Record Nr. | UNINA-9910786461403321 |
Cattani Eduardo
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Princeton, New Jersey : , : Princeton University Press, , 2014 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Hodge theory / / edited by Eduardo Cattani [and three others] ; Patrick Brosnan [and thirteen others], contributors |
Autore | Cattani Eduardo |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2014 |
Descrizione fisica | 1 online resource (608 p.) |
Disciplina | 514.223 |
Collana | Mathematical Notes |
Soggetto topico | Manifolds (Mathematics) |
Soggetto non controllato |
Abel–Jacobi map
Adélic lemmas Albanese kernel Bloch–Beilinson conjecture Chow groups Decomposition theorem Deligne cohomology Deligne's theorem Galois action Griffiths group Griffiths' period map Grothendieck's theorem Hermitian structures Hermitian symmetric domains Hodge bundles Hodge cycles Hodge structure Hodge structures Hodge theory Hodge-theoretic interpretations Jacobian ideal Kodaira–Spencer map Kuga–Satake correspondence Kähler manifolds Kähler structures Lefschetz decomposition Poincaré residues Schmid's orbit theorems Shimura varieties Thom–Whitney results Torelli theorem Verdier duality absolute Hodge classes abstract variations algebraic cycles algebraic equivalence algebraic homology algebraic maps algebraic varieties algebraicity asymptotic behavior coherent sheaves cohomology compact Kähler manifolds complex manifolds complex multiplication conjectural filtration contemporary mathematics cycle class cycle map de Rham cohomology de Rham theorem differential forms elliptic curves equivalence relations harmonic forms holomorphicity homological equivalence horizontal distribution horizontality hypercohomology hypersurfaces intersection cohomology complex intersection cohomology groups invariant cycle theorem linear algebra local systems mixed Hodge complex mixed Hodge structure mixed Hodge structures monodromy morphisms nontrivial topological constraints normal functions period domains period mappings sheaf cohomology smooth case smooth projective varieties spectral sequences spread philosophy spreads symplectic structures tangent space topological invariants variational Hodge conjecture Čech cohomology |
ISBN | 1-4008-5147-5 |
Classificazione | SI 850 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contributors -- Contents -- Preface -- Chapter One. Introduction to Kähler Manifolds / Cattani, Eduardo -- Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem / El Zein, Fouad / Tu, Loring W. -- Chapter Three. Mixed Hodge Structures / Zein, Fouad El / Tráng, Lê Dũng -- Chapter Four. Period Domains and Period Mappings / Carlson, James -- Chapter Five. The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Six The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Seven. Introduction to Variations of Hodge Structure / Cattani, Eduardo -- Chapter Eight. Variations of Mixed Hodge Structure / Brosnan, Patrick / Zein, Fouad El -- Chapter Nine. Lectures on Algebraic Cycles and Chow Groups / Murre, Jacob -- Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles / Green, Mark L. -- Chapter Eleven. Notes on Absolute Hodge Classes / Charles, François / Schnell, Christian -- Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective / Kerr, Matt -- Bibliography -- Index |
Record Nr. | UNINA-9910817118803321 |
Cattani Eduardo
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Princeton, New Jersey : , : Princeton University Press, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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Matrix completions, moments, and sums of hermitian squares [[electronic resource] /] / Mihály Bakonyi and Hugo J. Woerdeman |
Autore | Bakonyi Mihály |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
Descrizione fisica | 1 online resource (533 p.) |
Disciplina | 512.9434 |
Altri autori (Persone) | WoerdemanHugo J |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto genere / forma | Electronic books. |
Soggetto non controllato |
Bernstein–Szeg ő measures
Carathéodory problem Christoel–Darboux formulas Corona problem Fejéer–Riesz factorization Fejér–Riesz factorization Hamburger problem Hermitian matrices Hermitian matrix expressions Hermitian squares problems Hilbert spaces Hilbert–Schmidt norm control MATLAB codes Nehari problem Nevanlinna–Pick problem Schur complement Toeplitz case Toeplitz matrices banded case chordal case completion problems complex function theory cones contractive completion contractive completions control theory electrical engineering linear algebra mathematics measure theory minimal rank completions multivariables operator theory partial operator matrices positive Carathéodory interpolation positive definite completions positive semidefinite completion quantum information semidefinite completions semidefinite matrices semidefinite operator matrices semidefinite programming separability problem signal processing trigonometric polynomials |
ISBN |
1-283-10154-8
9786613101549 1-4008-4059-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- Chapter 2. Completions of positive semidefinite operator matrices -- Chapter 3. Multivariable moments and sums of Hermitian squares -- Chapter 4. Contractive analogs -- Chapter 5. Hermitian and related completion problems -- Bibliography -- Subject Index -- Notation Index |
Record Nr. | UNINA-9910459955403321 |
Bakonyi Mihály
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||
Princeton, N.J., : Princeton University Press, 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Matrix completions, moments, and sums of hermitian squares [[electronic resource] /] / Mihály Bakonyi and Hugo J. Woerdeman |
Autore | Bakonyi Mihály |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
Descrizione fisica | 1 online resource (533 p.) |
Disciplina | 512.9434 |
Altri autori (Persone) | WoerdemanHugo J |
Collana | Princeton series in applied mathematics |
Soggetto topico | Matrices |
Soggetto non controllato |
Bernstein–Szeg ő measures
Carathéodory problem Christoel–Darboux formulas Corona problem Fejér–Riesz factorization Hamburger problem Hermitian matrices Hermitian matrix expressions Hermitian squares problems Hilbert spaces Hilbert–Schmidt norm control MATLAB codes Nehari problem Nevanlinna–Pick problem Schur complement Toeplitz case Toeplitz matrices banded case chordal case completion problems complex function theory cones contractive completions control theory electrical engineering linear algebra mathematics measure theory minimal rank completions multivariables operator theory partial operator matrices positive Carathéodory interpolation positive definite completions positive semidefinite completion quantum information semidefinite completions semidefinite matrices semidefinite operator matrices semidefinite programming separability problem signal processing trigonometric polynomials |
ISBN |
1-283-10154-8
9786613101549 1-4008-4059-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Cones of Hermitian matrices and trigonometric polynomials -- Chapter 2. Completions of positive semidefinite operator matrices -- Chapter 3. Multivariable moments and sums of Hermitian squares -- Chapter 4. Contractive analogs -- Chapter 5. Hermitian and related completion problems -- Bibliography -- Subject Index -- Notation Index |
Record Nr. | UNINA-9910790087903321 |
Bakonyi Mihály
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Princeton, N.J., : Princeton University Press, 2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
Autore | Abbes Ahmed |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
Descrizione fisica | 1 online resource (618 p.) |
Disciplina | 512/.2 |
Collana | Annals of mathematics studies |
Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
Soggetto non controllato |
Dolbeault generalized representation
Dolbeault module Dolbeault representation Faltings cohomology Faltings extension Faltings ringed topos Faltings site Faltings topos Galois cohomology Gerd Faltings Higgs bundle Higgs bundles Higgs crystals Higgs envelopes Higgs isocrystal HiggsДate algebra HodgeДate representation HodgeДate structure HodgeДate theory Hyodo's theory Koszul complex additive categories adic module almost faithfully flat descent almost faithfully flat module almost flat module almost isomorphism almost tale covering almost tale extension cohomology covanishing topos crystalline-type topos deformation discrete AЇ-module finite tale site fundamental group generalized covanishing topos generalized representation inverse limit linear algebra locally irreducible scheme morphism overconvergence p-adic Hodge theory p-adic Simpson correspondence p-adic field period ring ringed covanishing topos ringed total topos small generalized representation small representation solvable Higgs module tale cohomology tale fundamental group torsor |
ISBN | 1-4008-8123-4 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
Record Nr. | UNINA-9910797970703321 |
Abbes Ahmed
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Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
The p-adic Simpson correspondence / / Ahmed Abbes, Michel Gros, Takeshi Tsuji |
Autore | Abbes Ahmed |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2016 |
Descrizione fisica | 1 online resource (618 p.) |
Disciplina | 512/.2 |
Collana | Annals of mathematics studies |
Soggetto topico |
Group theory
p-adic groups Geometry, Algebraic |
Soggetto non controllato |
Dolbeault generalized representation
Dolbeault module Dolbeault representation Faltings cohomology Faltings extension Faltings ringed topos Faltings site Faltings topos Galois cohomology Gerd Faltings Higgs bundle Higgs bundles Higgs crystals Higgs envelopes Higgs isocrystal HiggsДate algebra HodgeДate representation HodgeДate structure HodgeДate theory Hyodo's theory Koszul complex additive categories adic module almost faithfully flat descent almost faithfully flat module almost flat module almost isomorphism almost tale covering almost tale extension cohomology covanishing topos crystalline-type topos deformation discrete AЇ-module finite tale site fundamental group generalized covanishing topos generalized representation inverse limit linear algebra locally irreducible scheme morphism overconvergence p-adic Hodge theory p-adic Simpson correspondence p-adic field period ring ringed covanishing topos ringed total topos small generalized representation small representation solvable Higgs module tale cohomology tale fundamental group torsor |
ISBN | 1-4008-8123-4 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Foreword -- Chapter I. Representations of the fundamental group and the torsor of deformations. An overview / Abbes, Ahmed / Gros, Michel -- Chapter II. Representations of the fundamental group and the torsor of deformations. Local study / Abbes, Ahmed / Gros, Michel -- Chapter III. Representations of the fundamental group and the torsor of deformations. Global aspects / Abbes, Ahmed / Gros, Michel -- Chapter IV. Cohomology of Higgs isocrystals / Tsuji, Takeshi -- Chapter V. Almost étale coverings / Tsuji, Takeshi -- Chapter VI. Covanishing topos and generalizations / Abbes, Ahmed / Gros, Michel -- Facsimile : A p-adic Simpson correspondence / Faltings, Gerd -- Bibliography -- Indexes |
Record Nr. | UNINA-9910819658903321 |
Abbes Ahmed
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Princeton, New Jersey : , : Princeton University Press, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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Spatiotemporal data analysis / / Gidon Eshel |
Autore | Eshel Gidon <1958-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2012] |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 519.5/36 |
Soggetto topico | Spatial analysis (Statistics) |
Soggetto genere / forma | Electronic books. |
Soggetto non controllato |
EOF analysis
EOF GramГchmidt orthogonalization SVD analysis SVD astrophysics autocorrelation functions autocovariance autoregressive model climate science column space covariability matrix data analysis data matrices degrees of freedom deterministic science ecology eigen-decomposition eigen-techniques eigenanalysis eigenvalues empirical orthogonal functions empirical science empiricism exercises forward problem geophysics inverse problem linear algebra linear regression matrices matrix structure matrix medicine multidimensional data sets multidimensional data nondeterministic phenomena null space phenomena probability distribution row space singular value decomposition spatiotemporal data spectral representation square matrices statistics stochastic processes subjective decisions theoretical science time series timescale tornado variables vectors |
ISBN | 1-4008-4063-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Part 1. Foundations -- One. Introduction and Motivation -- Two. Notation and Basic Operations -- Three. Matrix Properties, Fundamental Spaces, Orthogonality -- Four. Introduction to Eigenanalysis -- Five. The Algebraic Operation of SVD -- Part 2. Methods of Data Analysis -- Six. The Gray World of Practical Data Analysis: An Introduction to Part 2 -- Seven. Statistics in Deterministic Sciences: An Introduction -- Eight. Autocorrelation -- Nine. Regression and Least Squares -- Ten. The Fundamental Theorem of Linear Algebra -- Eleven. Empirical Orthogonal Functions -- Twelve. The SVD Analysis of Two Fields -- Thirteen. Suggested Homework -- Index |
Record Nr. | UNINA-9910461571103321 |
Eshel Gidon <1958->
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Princeton : , : Princeton University Press, , [2012] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Spatiotemporal data analysis / / Gidon Eshel |
Autore | Eshel Gidon <1958-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2012] |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 519.5/36 |
Soggetto topico | Spatial analysis (Statistics) |
Soggetto non controllato |
EOF analysis
EOF GramГchmidt orthogonalization SVD analysis SVD astrophysics autocorrelation functions autocovariance autoregressive model climate science column space covariability matrix data analysis data matrices degrees of freedom deterministic science ecology eigen-decomposition eigen-techniques eigenanalysis eigenvalues empirical orthogonal functions empirical science empiricism exercises forward problem geophysics inverse problem linear algebra linear regression matrices matrix structure matrix medicine multidimensional data sets multidimensional data nondeterministic phenomena null space phenomena probability distribution row space singular value decomposition spatiotemporal data spectral representation square matrices statistics stochastic processes subjective decisions theoretical science time series timescale tornado variables vectors |
ISBN | 1-4008-4063-5 |
Classificazione | SCI019000MAT002050 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Part 1. Foundations -- One. Introduction and Motivation -- Two. Notation and Basic Operations -- Three. Matrix Properties, Fundamental Spaces, Orthogonality -- Four. Introduction to Eigenanalysis -- Five. The Algebraic Operation of SVD -- Part 2. Methods of Data Analysis -- Six. The Gray World of Practical Data Analysis: An Introduction to Part 2 -- Seven. Statistics in Deterministic Sciences: An Introduction -- Eight. Autocorrelation -- Nine. Regression and Least Squares -- Ten. The Fundamental Theorem of Linear Algebra -- Eleven. Empirical Orthogonal Functions -- Twelve. The SVD Analysis of Two Fields -- Thirteen. Suggested Homework -- Index |
Record Nr. | UNINA-9910789871903321 |
Eshel Gidon <1958->
![]() |
||
Princeton : , : Princeton University Press, , [2012] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Spatiotemporal data analysis / / Gidon Eshel |
Autore | Eshel Gidon <1958-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2012] |
Descrizione fisica | 1 online resource (336 p.) |
Disciplina | 519.5/36 |
Soggetto topico | Spatial analysis (Statistics) |
Soggetto non controllato |
EOF analysis
EOF GramГchmidt orthogonalization SVD analysis SVD astrophysics autocorrelation functions autocovariance autoregressive model climate science column space covariability matrix data analysis data matrices degrees of freedom deterministic science ecology eigen-decomposition eigen-techniques eigenanalysis eigenvalues empirical orthogonal functions empirical science empiricism exercises forward problem geophysics inverse problem linear algebra linear regression matrices matrix structure matrix medicine multidimensional data sets multidimensional data nondeterministic phenomena null space phenomena probability distribution row space singular value decomposition spatiotemporal data spectral representation square matrices statistics stochastic processes subjective decisions theoretical science time series timescale tornado variables vectors |
ISBN | 1-4008-4063-5 |
Classificazione | SCI019000MAT002050 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Part 1. Foundations -- One. Introduction and Motivation -- Two. Notation and Basic Operations -- Three. Matrix Properties, Fundamental Spaces, Orthogonality -- Four. Introduction to Eigenanalysis -- Five. The Algebraic Operation of SVD -- Part 2. Methods of Data Analysis -- Six. The Gray World of Practical Data Analysis: An Introduction to Part 2 -- Seven. Statistics in Deterministic Sciences: An Introduction -- Eight. Autocorrelation -- Nine. Regression and Least Squares -- Ten. The Fundamental Theorem of Linear Algebra -- Eleven. Empirical Orthogonal Functions -- Twelve. The SVD Analysis of Two Fields -- Thirteen. Suggested Homework -- Index |
Record Nr. | UNINA-9910823944403321 |
Eshel Gidon <1958->
![]() |
||
Princeton : , : Princeton University Press, , [2012] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|