Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors
| Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 516.3/52 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Painlevé equations
Differential equations, Nonlinear Hamiltonian systems |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0991-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5. Rational transform of _{ , } and _{ }""""References""; ""Differential equations for triangle groups""; ""1. Introduction""; ""2. Conformal mapping and Schwarz triangle functions""; ""3. The generalized Darboux-Halphen system""; ""4. Construction of ODEs for triangle groups""; ""5. Special Reductions""; ""6. Conclusion""; ""Acknowledgments""; ""References""; ""Hirota equation and the quantum plane""; ""1. Introduction""; ""2. Integrability and symmetry of the Hirota equation""; ""3. The quantum plane structure maps""; ""Acknowledgments""; ""References""
""On the geometry of â?? mapping"" |
| Record Nr. | UNINA-9910480038503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors
| Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 516.3/52 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Painlevé equations
Differential equations, Nonlinear Hamiltonian systems |
| ISBN | 1-4704-0991-7 |
| Classificazione | 34M5534M5637K1037K4005C3014D2114H1539A2033E1760B20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5. Rational transform of _{ , } and _{ }""""References""; ""Differential equations for triangle groups""; ""1. Introduction""; ""2. Conformal mapping and Schwarz triangle functions""; ""3. The generalized Darboux-Halphen system""; ""4. Construction of ODEs for triangle groups""; ""5. Special Reductions""; ""6. Conclusion""; ""Acknowledgments""; ""References""; ""Hirota equation and the quantum plane""; ""1. Introduction""; ""2. Integrability and symmetry of the Hirota equation""; ""3. The quantum plane structure maps""; ""Acknowledgments""; ""References""
""On the geometry of â?? mapping"" |
| Record Nr. | UNINA-9910788900603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors
| Algebraic and geometric aspects of integrable systems and random matrices : AMS Special Session, Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, January 6-7, 2012, Boston, MA / / Anton Dzhamay, Kenichi Maruno, Virgil U. Pierce, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 516.3/52 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Painlevé equations
Differential equations, Nonlinear Hamiltonian systems |
| ISBN | 1-4704-0991-7 |
| Classificazione | 34M5534M5637K1037K4005C3014D2114H1539A2033E1760B20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5. Rational transform of _{ , } and _{ }""""References""; ""Differential equations for triangle groups""; ""1. Introduction""; ""2. Conformal mapping and Schwarz triangle functions""; ""3. The generalized Darboux-Halphen system""; ""4. Construction of ODEs for triangle groups""; ""5. Special Reductions""; ""6. Conclusion""; ""Acknowledgments""; ""References""; ""Hirota equation and the quantum plane""; ""1. Introduction""; ""2. Integrability and symmetry of the Hirota equation""; ""3. The quantum plane structure maps""; ""Acknowledgments""; ""References""
""On the geometry of â?? mapping"" |
| Record Nr. | UNINA-9910828803603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic geometry and arithmetic curves [[electronic resource] /] / Qing Liu ; translated by Reinie Erné
| Algebraic geometry and arithmetic curves [[electronic resource] /] / Qing Liu ; translated by Reinie Erné |
| Autore | Liu Qing <1963-> |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2006 |
| Descrizione fisica | 1 online resource (594 p.) |
| Disciplina |
516.3
516.3/52 516.352 |
| Collana |
Oxford science publications
Oxford graduate texts in mathematics |
| Soggetto topico |
Curves, Algebraic
Arithmetical algebraic geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-19-850284-2
1-281-34139-8 0-19-154780-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; 1 Some topics in commutative algebra; 2 General properties of schemes; 3 Morphisms and base change; 4 Some local properties; 5 Coherent sheaves and Cech cohomology; 6 Sheaves of differentials; 7 Divisors and applications to curves; 8 Birational geometry of surfaces; 9 Regular surfaces; 10 Reduction of algebraic curves; Bibliography; Index |
| Record Nr. | UNINA-9910450913903321 |
Liu Qing <1963->
|
||
| Oxford ; ; New York, : Oxford University Press, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic geometry and arithmetic curves [[electronic resource] /] / Qing Liu ; translated by Reinie Erné
| Algebraic geometry and arithmetic curves [[electronic resource] /] / Qing Liu ; translated by Reinie Erné |
| Autore | Liu Qing <1963-> |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2006 |
| Descrizione fisica | 1 online resource (594 p.) |
| Disciplina |
516.3
516.3/52 516.352 |
| Collana |
Oxford science publications
Oxford graduate texts in mathematics |
| Soggetto topico |
Curves, Algebraic
Arithmetical algebraic geometry |
| ISBN |
1-383-02049-3
0-19-850284-2 1-281-34139-8 0-19-154780-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents; 1 Some topics in commutative algebra; 2 General properties of schemes; 3 Morphisms and base change; 4 Some local properties; 5 Coherent sheaves and Cech cohomology; 6 Sheaves of differentials; 7 Divisors and applications to curves; 8 Birational geometry of surfaces; 9 Regular surfaces; 10 Reduction of algebraic curves; Bibliography; Index |
| Record Nr. | UNINA-9910784711803321 |
Liu Qing <1963->
|
||
| Oxford ; ; New York, : Oxford University Press, 2006 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beauville Surfaces and Groups / / edited by Ingrid Bauer, Shelly Garion, Alina Vdovina
| Beauville Surfaces and Groups / / edited by Ingrid Bauer, Shelly Garion, Alina Vdovina |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (190 p.) |
| Disciplina |
516.3/52
516.35 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Geometry, Algebraic
Group theory Number theory Algebraic Geometry Group Theory and Generalizations Number Theory |
| ISBN | 3-319-13862-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Introduction; The Fundamental Group and Torsion Group of Beauville Surfaces; 1 Introduction; 2 Product-Quotient Surfaces; 3 The Fundamental Group; 4 Some Applications; References; Regular Algebraic Surfaces, Ramification Structures and Projective Planes; 1 Introduction; 2 Ramification Structures and Associated Surfaces; 2.1 Group Theoretical Structures; 2.2 From Ramification Structures to Algebraic Surfaces; 3 Groups with Special Presentations; 3.1 Ramification Structures for the Group in [15, Example 6.3]; 3.2 Ramification Structures for the Groups in [11, Example 3.3]
3.3 Ramification Structures for the Group in [15, Example 6.4]3.4 Ramification Structures for the Groups of Theorem 3.1 with qge4; 3.5 Ramification Structures for the Group in [18, Example 2]; References; A Survey of Beauville p-Groups; 1 Introduction; 2 Definitions; 2.1 Beauville Structures; 2.2 p-Groups; 3 Beauville Groups in O'Brien Trees; 3.1 An Example; 3.2 Infinite Paths Through the O'Brien Trees; 4 Beauville Groups of Small Order; References; Strongly Real Beauville Groups; 1 Introduction; 2 The Finite Simple Groups; 3 Characteristically Simple Groups 4 The Symmetric and Alternating Groups5 Almost Simple Groups; 6 Nilpotent Groups; References; Beauville Surfaces and Probabilistic Group Theory; 1 Beauville Surfaces and Beauville Structures; 2 Beauville Surfaces and Finite Simple Groups; 3 Hyperbolic Triangle Groups and Their Finite Quotients; 4 Beauville Structures for the Group `39`42`""613A``45`47`""603APSL2(q); 4.1 Sketch of the Proof of Theorem 10; 4.2 Proof of Theorem 7; 5 Beauville Structures for Finite Simple Groups; 5.1 Choosing Disjoint Conjugacy Classes; 5.2 Frobenius Formula and Witten's Zeta Function 5.3 Character Estimates in Finite Simple Groups5.4 Finding Generating Pairs; References; The Classification of Regular Surfaces Isogenous to a Product of Curves with χ(mathcalOS)= 2; 1 Introduction; 2 Surfaces Isogenous to a Product; 3 Group Theory, Riemann Surfaces and Combinatorics; 4 Moduli Spaces; 5 The Algorithm and the Classification Result; 5.1 Exceptional Cases for Mainloop1:; 5.2 Exceptional Cases for Mainloop2:; References; Characteristically Simple Beauville Groups, II: Low Rank and Sporadic Groups; 1 Introduction; 2 Background and Method of Proof; 3 Generating Cartesian Powers 4 Beauville Structures in Cartesian Powers5 The Groups L2(q); 6 Counting Triples; 7 The Suzuki Groups; 8 The Small Ree Groups; 9 The Sporadic Simple Groups; 9.1 The Mathieu Groups; 9.2 Other Small Sporadic Simple Groups; 9.3 The Larger Sporadic Simple Groups; 10 The Groups L3(q) and U3(q); 10.1 L3(q); 10.2 U3(q); References; Remarks on Lifting Beauville Structures of Quasisimple Groups ; 1 Introduction; 2 Frattini Covers of Beauville Groups; 3 Semidirect Products with Beauville Structures; 4 Questions; References Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups |
| Record Nr. | UNINA-9910299765003321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Lo trovi qui: Univ. Federico II | ||
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Cancellation for Surfaces Revisited
| Cancellation for Surfaces Revisited |
| Autore | Flenner H |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (124 pages) |
| Disciplina |
516.3/52
516.352 |
| Altri autori (Persone) |
KalimanS
ZaidenbergM |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Surfaces, Algebraic
Cancellation theory (Group theory) Moduli theory Algebraic geometry -- Affine geometry -- Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Algebraic geometry -- Families, fibrations -- Fine and coarse moduli spaces |
| ISBN |
9781470471712
147047171X |
| Classificazione | 14R1014D22 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Introduction -- Chapter 1. Generalities -- 1.1. Cancellation and the Makar-Limanov invariant -- 1.2. Non-cancellation and Gizatullin surfaces -- 1.3. The Danielewski-Fieseler construction -- 1.4. Affine modifications -- Chapter 2. ¹-fibered surfaces via affine modifications -- 2.1. Covering trick and GDF surfaces -- 2.2. Pseudominimal completion and extended divisor -- 2.3. Blowup construction -- 2.4. GDF surfaces via affine modifications -- Chapter 3. Vector fields and natural coordinates -- 3.1. Locally nilpotent vertical vector fields -- 3.2. Standard affine charts -- 3.3. Natural coordinates -- 3.4. Special _{ }-quasi-invariants -- 3.5. Examples of GDF surfaces of Danielewski type -- Chapter 4. Relative flexibility -- 4.1. Definitions and the main theorem -- 4.2. Transitive group actions on Veronese cones -- 4.3. Relatively transitive group actions on cylinders -- 4.4. A relative Abhyankar-Moh-Suzuki Theorem -- Chapter 5. Rigidity of cylinders upon deformation of surfaces -- 5.1. Equivariant Asanuma modification -- 5.2. Rigidity of cylinders under deformations of GDF surfaces -- 5.3. Rigidity of cylinders under deformations of ¹-fibered surfaces -- 5.4. Rigidity of line bundles over affine surfaces -- Chapter 6. Basic examples of Zariski factors -- 6.1. Line bundles over affine curves -- 6.2. Parabolic _{ }-surfaces: an overview -- 6.3. Parabolic _{ }-surfaces as Zariski factors -- Chapter 7. Zariski 1-factors -- 7.1. Stretching and rigidity of cylinders -- 7.2. Non-cancellation for GDF surfaces -- 7.3. Extended graphs of Gizatullin surfaces -- 7.4. Zariski 1-factors and affine ¹-fibered surfaces -- Chapter 8. Classical examples -- Chapter 9. GDF surfaces with isomorphic cylinders -- 9.1. Preliminaries -- 9.2. Classification of GDF cylinders up to -isomorphism -- 9.3. GDF surfaces whose fiber trees are bushes.
9.4. Spring bushes versus bushes -- 9.5. Cylinders over Danielewski-Fieseler surfaces -- 9.6. Proof of the main theorem -- Chapter 10. On moduli spaces of GDF surfaces -- 10.1. Coarse moduli spaces of GDF surfaces -- 10.2. The automorphism group of a GDF surface -- 10.3. Configuration spaces and configuration invariants -- 10.4. Versal deformation families of trivializing sequences -- 10.5. Proof of Theorem 10.1.3 -- Acknowledgments -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910973246903321 |
Flenner H
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| Providence : , : American Mathematical Society, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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The Canonical Ring of a Stacky Curve
| The Canonical Ring of a Stacky Curve |
| Autore | Voight John |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (156 pages) |
| Disciplina |
516.3/52
516.352 |
| Altri autori (Persone) | Zureick-BrownDavid |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Curves, Algebraic
Algebraic geometry -- Computational aspects in algebraic geometry -- Curves Number theory -- Discontinuous groups and automorphic forms -- Holomorphic modular forms of integral weight |
| ISBN |
9781470470944
1470470942 |
| Classificazione | 14Q0511F11 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Chapter 1. Introduction -- 1.1. Motivation: Petri's theorem -- 1.2. Orbifold canonical rings -- 1.3. Rings of modular forms -- 1.4. Main result -- 1.5. Extensions and discussion -- 1.6. Previous work on canonical rings of fractional divisors -- 1.7. Computational applications -- 1.8. Generalizations -- 1.9. Organization and description of proof -- 1.10. Acknowledgements -- Chapter 2. Canonical rings of curves -- 2.1. Setup -- 2.2. Terminology -- 2.3. Low genus -- 2.4. Basepoint-free pencil trick -- 2.5. Pointed gin: High genus and nonhyperelliptic -- 2.6. Gin and pointed gin: Rational normal curve -- 2.7. Pointed gin: Hyperelliptic -- 2.8. Gin: Nonhyperelliptic and hyperelliptic -- 2.9. Summary -- Chapter 3. A generalized Max Noether's theorem for curves -- 3.1. Max Noether's theorem in genus at most 1 -- 3.2. Generalized Max Noether's theorem (GMNT) -- 3.3. Failure of surjectivity -- 3.4. GMNT: Nonhyperelliptic curves -- 3.5. GMNT: Hyperelliptic curves -- Chapter 4. Canonical rings of classical log curves -- 4.1. Main result: Classical log curves -- 4.2. Log curves: Genus 0 -- 4.3. Log curves: Genus 1 -- 4.4. Log degree 1: Hyperelliptic -- 4.5. Log degree 1: Nonhyperelliptic -- 4.6. Exceptional log cases -- 4.7. Log degree 2 -- 4.8. General log degree -- 4.9. Summary -- Chapter 5. Stacky curves -- 5.1. Stacky points -- 5.2. Definition of stacky curves -- 5.3. Coarse space -- 5.4. Divisors and line bundles on a stacky curve -- 5.5. Differentials on a stacky curve -- 5.6. Canonical ring of a (log) stacky curve -- 5.7. Examples of canonical rings of log stacky curves -- Chapter 6. Rings of modular forms -- 6.1. Orbifolds and stacky Riemann existence -- 6.2. Modular forms -- Chapter 7. Canonical rings of log stacky curves: genus zero -- 7.1. Toric presentation -- 7.2. Effective degrees -- 7.3. Simplification.
Chapter 8. Inductive presentation of the canonical ring -- 8.1. The block term order -- 8.2. Block term order: Examples -- 8.3. Inductive theorem: large degree canonical divisor -- 8.4. Main theorem -- 8.5. Inductive theorems: Genus zero, 2-saturated -- 8.6. Inductive theorem: By order of stacky point -- 8.7. Poincaré generating polynomials -- Chapter 9. Log stacky base cases in genus 0 -- 9.1. Beginning with small signatures -- 9.2. Canonical rings for small signatures -- 9.3. Conclusion -- Chapter 10. Spin canonical rings -- 10.1. Classical case -- 10.2. Modular forms -- 10.3. Genus zero -- 10.4. Higher genus -- Chapter 11. Relative canonical algebras -- 11.1. Classical case -- 11.2. Relative stacky curves -- 11.3. Modular forms and application to Rustom's conjecture -- Appendix: Tables of canonical rings -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910971643803321 |
Voight John
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| Providence : , : American Mathematical Society, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Complex multiplication / / Reinhard Schertz [[electronic resource]]
| Complex multiplication / / Reinhard Schertz [[electronic resource]] |
| Autore | Schertz Reinhard <1943-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xiii, 361 pages) : digital, PDF file(s) |
| Disciplina | 516.3/52 |
| Collana | New mathematical monographs |
| Soggetto topico | Multiplication, Complex |
| ISBN |
1-107-20891-2
1-139-63666-9 1-282-65186-2 9786612651861 0-511-77543-1 0-511-77619-5 0-511-77361-7 0-511-77254-8 0-511-77689-6 0-511-77467-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. Elliptic functions -- 2. Modular functions -- 3. Basic facts from number theory -- 4. Factorisation of singular values -- 5. The reciprocity law -- 6. Generation of ring class fields and ray class fields -- 7. Integral basis in ray class fields -- 8. Galois module structure -- 9. Berwick's congruences -- 10. Cryptographically relevant elliptic curves -- 11. The class number formulas of Curt Meyer -- 12. Arithmetic interpretation of class number formulas -- References -- Index of notation -- Index. |
| Record Nr. | UNINA-9910458424203321 |
Schertz Reinhard <1943->
|
||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex multiplication / / Reinhard Schertz [[electronic resource]]
| Complex multiplication / / Reinhard Schertz [[electronic resource]] |
| Autore | Schertz Reinhard <1943-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xiii, 361 pages) : digital, PDF file(s) |
| Disciplina | 516.3/52 |
| Collana | New mathematical monographs |
| Soggetto topico | Multiplication, Complex |
| ISBN |
1-107-20891-2
1-139-63666-9 1-282-65186-2 9786612651861 0-511-77543-1 0-511-77619-5 0-511-77361-7 0-511-77254-8 0-511-77689-6 0-511-77467-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. Elliptic functions -- 2. Modular functions -- 3. Basic facts from number theory -- 4. Factorisation of singular values -- 5. The reciprocity law -- 6. Generation of ring class fields and ray class fields -- 7. Integral basis in ray class fields -- 8. Galois module structure -- 9. Berwick's congruences -- 10. Cryptographically relevant elliptic curves -- 11. The class number formulas of Curt Meyer -- 12. Arithmetic interpretation of class number formulas -- References -- Index of notation -- Index. |
| Record Nr. | UNINA-9910791370503321 |
Schertz Reinhard <1943->
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||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||