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From Riemann to Differential Geometry and Relativity / / edited by Lizhen Ji, Athanase Papadopoulos, Sumio Yamada
From Riemann to Differential Geometry and Relativity / / edited by Lizhen Ji, Athanase Papadopoulos, Sumio Yamada
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XXXIV, 647 p. 24 illus.)
Disciplina 510.9
Soggetto topico Mathematics
History
Differential geometry
History of Mathematical Sciences
Differential Geometry
ISBN 3-319-60039-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction -- 1.Athanase Papadopoulos: Looking backward: From Euler to Riemann -- 2.Jeremey Gray: Riemann on geometry, physics, and philosophy – some remarks -- 3.Hubert Goenner: Some remarks on a contribution to electrodynamics by Bernhard Riemann -- 4.Christian Houzel: Riemann's Memoir Über das Verschwinden der Theta-Functionen -- 5.Sumio Yamada: Riemann's work on minimal surfaces -- 6. Athanase Papadopoulos: Physics in Riemann's mathematical papers -- 7.Athanase Papadopoulos: Cauchy and Puiseux: Two precursors of Riemann -- 8.Athanase Papadopoulos: Riemann surfaces: Reception by the French school -- 9.Ken'ichi Ohshika: The origin of the notion of manifold: from Riemann's Habilitationsvortrag onward -- 10.Franck Jedrzejewski: Deleuze et la géométrie riemannienne : une topologie des multiplicités -- 11.Arkady Plotnitsky: Comprehending the Connection of Things: Bernhard Riemann and the Architecture of Mathematical Concepts -- 12.Feng Luo: The Riemann mapping theorem and its discrete counterparts -- 13.Norbert A'Campo, Vincent Alberge and Elena Frenkel: The Riemann–Roch theorem -- 14.Victor Pambuccian, Horst Struve and Rolf Struve: Metric geometries in an axiomatic perspective -- 15.Toshikazu Sunada: Generalized Riemann sums -- 16.Jacques Franchi: From Riemannian to Relativistic Diffusions -- 17.Andreas Hermann and Emmanuel Humbert: On the Positive Mass Theorem for closed Riemannian manifolds -- 18.Marc Mars: On local characterization results in geometry and gravitation -- 19.Jean-Philippe Nicolas: The conformal approach to asymptotic analysis -- 20.Lizhen Ji: Bernhard Riemann and his work.
Record Nr. UNINA-9910254286203321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
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Geometrie et theorie des groupes [[electronic resource] ] : Les groupes hyperboliques de Gromov / / by Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Geometrie et theorie des groupes [[electronic resource] ] : Les groupes hyperboliques de Gromov / / by Michel Coornaert, Thomas Delzant, Athanase Papadopoulos
Autore Coornaert Michel
Edizione [1st ed. 1990.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990
Descrizione fisica 1 online resource (X, 165 p.)
Disciplina 512.2
Collana Lecture Notes in Mathematics
Soggetto topico Group theory
Algebraic geometry
Group Theory and Generalizations
Algebraic Geometry
ISBN 3-540-46294-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Nota di contenuto Espaces métriques hyperboliques -- Bord d'un espace hyperbolique -- Quasi-géodésiques et quasi-isométries dans les espaces hyperboliques -- Groupes hyperboliques -- Le polyèdre Pd(X) -- Inégalités isopérimétriques et espaces hyperboliques -- Inégalités isopérimétriques : une application -- Approximation par des arbres -- Classification des isométries -- Parties quasi-convexes d'un espace hyperbolique -- Structure métrique sur le bord d'un espace hyperbolique -- Automates et groupes hyperboliques.
Record Nr. UNISA-996466575703316
Coornaert Michel  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990
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Geometry in History / / edited by S. G. Dani, Athanase Papadopoulos
Geometry in History / / edited by S. G. Dani, Athanase Papadopoulos
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (759 pages)
Disciplina 516.009
Soggetto topico Projective geometry
Mathematics
History
Topology
Functions of complex variables
Projective Geometry
History of Mathematical Sciences
Functions of a Complex Variable
ISBN 3-030-13609-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics -- Convexity in Greek Antiquity -- On the Concept of Curve: Geometry and Algebra, fromMathematicalModernity to MathematicalModernism -- From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe -- A Path in History, from Curvature to Convexity -- The Axiomatic Destiny of the Theorems of Pappus and Desargues -- Projective Configuration Theorems: Old Wine into New Wineskins -- Poincaré’s GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- René Thom and an Anticipated h-Principle -- Rigid and Flexible Facets of Symplectic Topology -- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective -- Basic Aspects of Differential Geometry -- The Global Study of Riemannian-Finsler Geometry -- The Poincaré Conjecture and Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index.
Record Nr. UNINA-9910349317903321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
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Handbook of Hilbert Geometry [[electronic resource] /] / Athanase Papadopoulos, Marc Troyanov
Handbook of Hilbert Geometry [[electronic resource] /] / Athanase Papadopoulos, Marc Troyanov
Pubbl/distr/stampa Zuerich, Switzerland, : European Mathematical Society Publishing House, 2014
Descrizione fisica 1 online resource (460 pages)
Collana IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
Soggetto topico Differential & Riemannian geometry
Differential geometry
Geometry
Convex and discrete geometry
Global analysis, analysis on manifolds
ISBN 3-03719-647-5
Classificazione 53-xx51-xx52-xx58-xx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Weak Minkowski spaces / Athanase Papadopoulos, Marc Troyanov -- From Funk to Hilbert geometry / Athanase Papadopoulos, Marc Troyanov -- Funk and Hilbert geometries from the Finslerian viewpoint / Marc Troyanov -- On the Hilbert geometry of convex polytopes / Constantin Vernicos -- The horofunction boundary and isometry group of the Hilbert geometry / Cormac Walsh -- Characterizations of hyperbolic geometry among Hilbert geometries / Ren Guo -- Around groups in Hilbert geometry / Ludovic Marquis -- The geodesic flow of Finsler and Hilbert geometries / Mickaël Crampon -- Dynamics of Hilbert nonexpansive maps / Anders Karlsson -- Birkhoff's version of Hilbert's metric and its applications in analysis / Bas Lemmens, Roger D. Nussbaum -- Convex real projective structures and Hilbert metrics / Inkang Kim, Athanase Papadopoulos -- Weil-Petersson Funk metric on Teichmüller space / Hideki Miyachi, Ken'ichi Ohshika, Sumio Yamada -- Funk and Hilbert geometries in spaces of constant curvature / Athanase Papadopoulos, Sumio Yamada -- On the origin of Hilbert geometry / Marc Troyanov -- Hilbert's fourth problem / Athanase Papadopoulos -- Open problems.
Record Nr. UNINA-9910155827703321
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2014
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Handbook of Teichmüller Theory, Volume I [[electronic resource] /] / Athanase Papadopoulos
Handbook of Teichmüller Theory, Volume I [[electronic resource] /] / Athanase Papadopoulos
Pubbl/distr/stampa Zuerich, Switzerland, : European Mathematical Society Publishing House, 2007
Descrizione fisica 1 online resource (802 pages)
Collana IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
Soggetto topico Complex analysis
Functions of a complex variable
Several complex variables and analytic spaces
ISBN 3-03719-529-0
Classificazione 30-xx32-xx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction to Teichmüller theory, old and new / Athanase Papadopoulos -- Harmonic maps and Teichmüller theory / Georgios D. Daskalopoulos, Richard A. Wentworth -- On Teichmüller's metric and Thurston's asymmetric metric on Teichmüller space / Athanase Papadopoulos, Guillaume Théret -- Surfaces, circles, and solenoids / Robert C. Penner -- About the embedding of Teichmüller space in the space of geodesic Hölder distributions / Jean-Pierre Otal -- Teichmüller spaces, triangle groups and Grothendieck dessins / William J. Harvey -- On the boundary of Teichmüller disks in Teichmüller and in Schottky space / Frank Herrlich, Gabriela Schmithüsen -- Introduction to mapping class groups of surfaces and related groups / Shigeyuki Morita -- Geometric survey of subgroups of mapping class groups / John Loftin -- Deformations of Kleinian groups / Albert Marden -- Geometry of the complex of curves and of Teichmüller space / Ursula Hamenstädt -- Parameters for generalized Teichmüller spaces / Charalampos Charitos, Ioannis Papadoperakis -- On the moduli space of singular euclidean surfaces / Marc Troyanov -- Discrete Riemann surfaces / Christian Mercat -- On quantizing Teichmüller and Thurston theories / Leonid Chekhov, Robert C. Penner -- Dual Teichmüller and lamination spaces / Vladimir V. Fock, Alexander Goncharov -- An analog of a modular functor from quantized Teichmüller theory / Jörg Teschner -- On quantum moduli space of flat PSL2(ℝ)-connections on a punctured surface / Rinat Kashaev.
Record Nr. UNINA-9910151936403321
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2007
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Handbook of Teichmüller Theory, Volume II [[electronic resource] /] / Athanase Papadopoulos
Handbook of Teichmüller Theory, Volume II [[electronic resource] /] / Athanase Papadopoulos
Pubbl/distr/stampa Zuerich, Switzerland, : European Mathematical Society Publishing House, 2009
Descrizione fisica 1 online resource (883 pages)
Collana IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
Soggetto topico Complex analysis
Functions of a complex variable
Several complex variables and analytic spaces
ISBN 3-03719-555-X
Classificazione 30-xx32-xx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction to Teichmüller theory, old and new, II / Athanase Papadopoulos -- The Weil-Petersson metric geometry / Scott A. Wolpert -- Infinite dimensional Teichmüller spaces / Alastair Fletcher, Vladimir Markovic -- A construction of holomorphic families of Riemann surfaces over the punctured disk with given monodromy / Yoichi Imayoshi -- The uniformization problem / Robert Silhol -- Riemann surfaces, ribbon graphs and combinatorial classes / Gabriele Mondello -- Canonical 2-forms on the moduli space of Riemann surfaces / Nariya Kawazumi -- Quasi-homomorphisms on mapping class groups / Koji Fujiwara -- Lefschetz fibrations on 4-manifolds / Mustafa Korkmaz, András I. Stipsicz -- Introduction to measurable rigidity of mapping class groups / Yoshikata Kida -- Affine groups of flat surfaces / Martin Möller -- Braid groups and Artin groups / Luis Paris -- Complex projective structures / David Dumas -- Circle packing and Teichmüller space / Sadayoshi Kojima -- (2+1) Einstein spacetimes of finite type / Riccardo Benedetti, Francesco Bonsante -- Trace coordinates on Fricke spaces of some simple hyperbolic surfaces / William M. Goldman -- Spin networks and SL(2,ℂ)-character varieties / Sean Lawton, Elisha Peterson -- Grothendieck's reconstruction principle and 2-dimensional topology and geometry / Feng Luo -- Dessins d'enfants and origami curves / Frank Herrlich, Gabriela Schmithüsen -- The Teichmüller theory of the solenoid / Dragomir Šarić.
Record Nr. UNINA-9910151932603321
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2009
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Handbook of Teichmüller Theory, Volume III [[electronic resource] /] / Athanase Papadopoulos
Handbook of Teichmüller Theory, Volume III [[electronic resource] /] / Athanase Papadopoulos
Pubbl/distr/stampa Zuerich, Switzerland, : European Mathematical Society Publishing House, 2012
Descrizione fisica 1 online resource (874 pages)
Collana IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
Soggetto topico Complex analysis
Functions of a complex variable
Several complex variables and analytic spaces
ISBN 3-03719-603-3
Classificazione 30-xx32-xx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction to Teichmüller theory, old and new, III / Athanase Papadopoulos -- Quasiconformal and BMO-quasiconformal homeomorphisms / Jean-Pierre Otal -- Earthquakes on the hyperbolic plane / Jun Hu -- Kerckhoff's lines of minima in Teichmüller space / Caroline Series -- A tale of two groups: arithmetic groups and mapping class groups / Lizhen Ji -- Simplicial actions of mapping class groups / John D. McCarthy, Athanase Papadopoulos -- On the coarse geometry of the complex of domains / Valentina Disarlo -- Minimal generating sets for the mapping class group / Mustafa Korkmaz -- From mapping class groups to monoids of homology cobordisms: a survey / Kazuo Habiro, Gwénaël Massuyeau -- A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces / Takuya Sakasai -- Asymptotically rigid mapping class groups and Thompson groups / Louis Funar, Christophe Kapoudjian, Vlad Sergiescu -- An introduction to moduli spaces of curves and their intersection theory / Dimitri Zvonkine -- Homology of the open moduli space of curves / Ib Madsen -- On the $L^p$-cohomology and the geometry of metrics on moduli spaces of curves / Lizhen Ji, Steven Zucker -- The Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds / Kirill Krasnov, Jean-Marc Schlenker -- Discrete Liouville equation and Teichmüller theory / Rinat Kashaev.
Record Nr. UNINA-9910151927103321
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2012
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Handbook of Teichmüller Theory, Volume VI [[electronic resource] /] / Athanase Papadopoulos
Handbook of Teichmüller Theory, Volume VI [[electronic resource] /] / Athanase Papadopoulos
Pubbl/distr/stampa Zuerich, Switzerland, : European Mathematical Society Publishing House, 2016
Descrizione fisica 1 online resource (652 pages)
Altri autori (Persone) PapadopoulosAthanase
Collana IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
Soggetto topico Functional analysis
Functions of a complex variable
ISBN 3-03719-661-0
Classificazione 30-xx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction to Teichmüller theory, old and new, VI / Athanase Papadopoulos -- Alexander Grothendieck / Valentin Poénaru -- On Grothendieck's construction of Teichmüller space / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos -- Null-set compactifications of Teichmüller spaces / Vincent Alberge, Hideki Miyachi, Ken'ichi Ohshika -- Mirzakhani's recursion formula on Weil-Petersson volume and applications / Yi Huang -- Rigidity phenomena in the mapping class group / Javier Aramayona, Juan Souto -- Harmonic volume and its applications / Yuuki Tadokoro -- Torus bundles and 2-forms on the universal family of Riemann surfaces / Robin de Jong -- Cubic Differentials in the Differential Geometry of Surfaces / John Loftin, Ian McIntosh -- Two-generator groups acting on the complex hyperbolic plane / Pierre Will -- Configuration spaces of planar linkages / Alexey Sossinsky -- Quasiconformal mappings on the Heisenberg group: An overview / Ioannis D. Platis -- Actions of the absolute Galois group / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos -- A primer on dessins / Pierre Guillot -- Hypergeometric Galois Actions / A. Muhammed Uludağ, İsmail Sağlam -- A panaroma of the fundamental group of the modular orbifold / A. Muhammed Uludağ, Ayberk Zeytin -- On Grothendieck's tame topology / Norbert A'Campo, Lizhen Ji, Athanase Papadopoulos -- Some historical commentaries on Teichmüller's paper Extremale quasikonforme Abbildungen und quadratische Differentiale / Reiner Kühnau -- Complete solution of an extremal problem of the quasiconformal mapping / Oswald Teichmüller -- A Commentary on Teichmüller's paper Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung / Vincent Alberge, Athanase Papadopoulos -- On extremal problems of conformal geometry / Oswald Teichmüller -- A Commentary on Teichmüller's paper Über Extremalprobleme der konformen Geometrie / Norbert A'Campo, Athanase Papadopoulos -- A displacement theorem of quasiconformal mapping / Oswald Teichmüller -- A Commentary on Teichmüller's paper Ein Verschiebungssatz der quasikonformen Abbildung / Vincent Alberge.
Record Nr. UNINA-9910153279403321
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2016
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In the tradition of Thurston : geometry and topology / / edited by Ken'ichi OÌ„shika, Athanase Papadopoulos
In the tradition of Thurston : geometry and topology / / edited by Ken'ichi OÌ„shika, Athanase Papadopoulos
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2020]
Descrizione fisica 1 online resource (XXI, 713 p. 81 illus., 37 illus. in color.)
Disciplina 514
Soggetto topico Geometry
Topology
ISBN 3-030-55928-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 2: Thurston's influence on Japanese topologists up to the 1980s. (Ken'ichi Ohshika) -- Chapter 3: A survey of the impact of Thurston's work on Knot Theory. (Makoto Sakuma) -- Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima) -- Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston in the story of one theorem. (Philip Bowers) -- Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba) -- Chapter 7: A short proof of an assertion of Thurston concerning convex hulls. (Graham Smith) -- Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire) -- Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi Ohshika and Teruhiko Soma) -- Chapter 10: Laminar groups and 3-manifolds. (Hyungryul Baik and KyeongRo Kim) -- Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik) -- Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis) -- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi) -- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo) -- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi) -- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre).
Record Nr. UNINA-9910483850103321
Cham, Switzerland : , : Springer, , [2020]
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In the tradition of Thurston : geometry and topology / / edited by Ken'ichi OÌ„shika, Athanase Papadopoulos
In the tradition of Thurston : geometry and topology / / edited by Ken'ichi OÌ„shika, Athanase Papadopoulos
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2020]
Descrizione fisica 1 online resource (XXI, 713 p. 81 illus., 37 illus. in color.)
Disciplina 514
Soggetto topico Geometry
Topology
ISBN 3-030-55928-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos) -- Chapter 2: Thurston's influence on Japanese topologists up to the 1980s. (Ken'ichi Ohshika) -- Chapter 3: A survey of the impact of Thurston's work on Knot Theory. (Makoto Sakuma) -- Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima) -- Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston in the story of one theorem. (Philip Bowers) -- Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba) -- Chapter 7: A short proof of an assertion of Thurston concerning convex hulls. (Graham Smith) -- Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire) -- Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi Ohshika and Teruhiko Soma) -- Chapter 10: Laminar groups and 3-manifolds. (Hyungryul Baik and KyeongRo Kim) -- Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik) -- Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis) -- Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi) -- Chapter 14: Signatures of monic polynomials. (Norbert A'Campo) -- Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi) -- Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre).
Record Nr. UNISA-996418198603316
Cham, Switzerland : , : Springer, , [2020]
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Lo trovi qui: Univ. di Salerno
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