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Algebraic combinatorics : lectures at a summer school in Nordfjordeid, Norway, june 2003 / Peter Orlik,Volkmar Welker
| Algebraic combinatorics : lectures at a summer school in Nordfjordeid, Norway, june 2003 / Peter Orlik,Volkmar Welker |
| Autore | Orlik, Peter |
| Pubbl/distr/stampa | Berlin : Springer, c2007 |
| Descrizione fisica | viii, 177 p. ; 24 cm |
| Disciplina | 516.35 |
| Altri autori (Persone) | Welker, Volkmar |
| Collana | Univesitext |
| Soggetto non controllato |
Geometria algebrica
Combinatorica |
| ISBN | 3-540-68375-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990008505340403321 |
Orlik, Peter
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| Berlin : Springer, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic curves : an introduction to algebraic geometry / William Fulton ; notes written with collaboration of Richard Weiss
| Algebraic curves : an introduction to algebraic geometry / William Fulton ; notes written with collaboration of Richard Weiss |
| Autore | Fulton, William |
| Pubbl/distr/stampa | New York : W. A. Benjamin, 1969 |
| Descrizione fisica | xiii, 226 p. ; 23 cm. |
| Disciplina | 516.35 |
| Altri autori (Persone) | Weiss, Richard |
| Collana | Mathematics lecture note series |
| Soggetto topico | Algebraic geometry |
| Classificazione |
AMS 14-01
AMS 14-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000657179707536 |
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Fulton, William
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| New York : W. A. Benjamin, 1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Algebraic curves and projective geometry : proceedings of the conference held in Trento, Italy, March 21-25, 1988 / / edited by Edoardo Ballico and Ciro Ciliberto
| Algebraic curves and projective geometry : proceedings of the conference held in Trento, Italy, March 21-25, 1988 / / edited by Edoardo Ballico and Ciro Ciliberto |
| Edizione | [1st ed. 1989.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] |
| Descrizione fisica | 1 online resource (VI, 290 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Mathematics - Study and teaching
Curves, Algebraic |
| ISBN | 3-540-48188-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | On regular and stable ruled surfaces in P3 -- Appendix to "On regular and stable ruled surfaces in P3" -- Configurations of linear projective subvarieties -- Plane sections of arthmetically normal curves in ?3 -- Sur les lacunes d'Halphen -- Some results on the codimension-two Chow group of the moduli space of stable curves -- Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann -- La Rationalité des schémas de Hilbert de courbes gauches rationnelles suivant Katsylo -- Cohérence et dualité sur le gros site de Zariski -- Nouvelles fonctions constructibles et rang des images directes -- Generating six skew lines in ?3 -- Liaison of families of subschemes in Pn. -- On curves on K 3 surfaces -- Gonality and Hilbert schemes of smooth curves -- Geometry of complete cuspidal plane cubics -- Unobstructed arithmetically Buchsbaum curves -- On the Néron-Severi groups of the surfaces of special divisors -- Deformations of maps -- Green's conjecture for general P-gonal curves of large genus -- On rank-1 degenerations of abelian varieties -- Sur une conjecture de Griffiths et Harris -- Open problems. |
| Record Nr. | UNISA-996466631403316 |
| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebraic curves and projective geometry [e-book] : proceedings of the conference held in Trento, Italy, march 21-25, 1988 / edited by Edoardo Ballico, Ciro Ciliberto
| Algebraic curves and projective geometry [e-book] : proceedings of the conference held in Trento, Italy, march 21-25, 1988 / edited by Edoardo Ballico, Ciro Ciliberto |
| Pubbl/distr/stampa | Berlin : Springer, 1989 |
| Descrizione fisica | 1 online resource (vi, 290 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) |
Ballico, Edoardo
Ciliberto, Ciro |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 1389 |
| Soggetto topico |
Mathematics
Geometry, algebraic K-theory |
| ISBN | 9783540481881 |
| Classificazione |
AMS 14N05
AMS 14N10 |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002247109707536 |
| Berlin : Springer, 1989 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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Algebraic Curves and Surfaces : A History of Shapes / / Laurent Busé, Fabrizio Catanese, and Elisa Postinghel
| Algebraic Curves and Surfaces : A History of Shapes / / Laurent Busé, Fabrizio Catanese, and Elisa Postinghel |
| Autore | Busé Laurent |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (220 pages) |
| Disciplina | 516.35 |
| Collana | SISSA Springer Series |
| Soggetto topico |
Geometry, Algebraic
Geometria algebraica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031241512
9783031241505 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Abridged History of the Theory of Curves and Surfaces -- Contents of the Volume -- Contents -- 1 The P12-Theorem: The Classification of Surfaces and Its Historical Development -- 1.1 Introduction -- 1.2 Lecture I: The Basic Set Up -- 1.2.1 First New Concepts Introduced by Enriques -- 1.2.1.1 Intersection Product -- 1.2.1.2 The Severi Group and the Neron-Severi Group -- 1.2.2 The Canonical Divisor and Riemann-Roch for Divisors on Surfaces -- 1.2.2.1 The Hurwitz Formula -- 1.2.3 The Arithmetic Genus of a Curve on a Surface -- 1.2.4 Linear Systems and Morphisms -- 1.2.5 Exceptional Curves of the First Kind and the Theorem of Castelnuovo-Enriques -- 1.2.6 Birational Invariants of S and the Albanese Variety -- 1.2.6.1 Irregular Surfaces and the Albanese Variety -- 1.2.7 Uniqueness Versus Non Uniqueness of Minimal Models -- 1.2.7.1 Elementary Transformations of Geometrically Ruled Surfaces -- 1.2.8 Castelnuovo's Key Theorem -- 1.2.9 Biregular Invariants of the Minimal Model -- 1.3 Lecture II: First Important Results for the Classification Theorem of Surfaces -- 1.3.1 A Basic Tool: Unramified Coverings -- 1.3.2 Castelnuovo's Theorem on Irregular Ruled Surfaces -- 1.3.3 Surfaces Fibred Over Curves -- 1.3.4 Castelnuovo's Criterion of Rationality -- 1.4 Lecture III: The Classification Theorem -- 1.4.1 Description of the Surfaces with 12 KS 0 (Case II, P12(S)=1) -- 1.4.2 Hyperelliptic Surfaces -- 1.5 Lecture IV: Isotriviality. Central Methods and Ideas in the Proof of the P12-Theorem -- 1.5.1 Structure of the Proof of the Classification Theorem -- 1.5.1.1 The Canonical Divisor Formula for Elliptic Fibrations -- 1.5.1.2 On the Existence of Elliptic Fibrations -- 1.5.1.3 P12 of Elliptic Fibrations -- 1.5.2 The Special Case KS nef, KS2=0, pg(S)=0, q(S)=1 and the Crucial Theorem.
1.5.3 First Transcendental Proof of Isotriviality for Fibre Genus g = 1. -- 1.5.3.1 All the Fibres Smooth of Genus g=1 -- 1.5.3.2 g=1 and there are multiple fibres. -- 1.5.4 Second Transcendental Proof of Isotriviality Using Teichmüller Space for Fibre Genus g ≥2 -- 1.5.5 Modern Proof of Isotriviality Using Variation of Hodge Structures, and the Theorems of Fujita and Arakelov -- 1.5.5.1 Fujita's and Arakelov's Theorems -- 1.5.6 Algebraic Approaches by Castelnuovo-Enriques, Bombieri-Mumford -- 1.5.6.1 Lemma of Enriques and Mumford mum1 -- 1.6 Appendix: Surfaces with Arithmetic Genus -1, Hyperelliptic Surfaces and Elliptic Surfaces According to Enriques -- 1.6.1 Analysis of Enriques' Argument -- 1.6.2 An Explicit Example of Surfaces of Type (2.0,0) -- 1.7 Some Exercises -- 1.7.1 Exercise 1 : Exceptional Curves of the First Kind -- 1.7.2 Exercise 2 : Fibred Surfaces with Fibre Genus g=0 -- 1.7.3 Exercise 3 : Minimal K3 Surfaces, Surfaces with KS 0 (KS is Trivial), q(S) = 0 -- 1.7.4 Exercise 4: Enriques' Construction of Enriques Surfaces -- 1.7.5 Exercise 5: Construction of Enriques Surfaces via a Reye Congruence -- References -- 2 Linear Systems of Hypersurfaces with Singularities and Beyond -- 2.1 Introduction -- 2.2 Plane Singular Curves -- 2.2.1 Polynomial Interpolation Problems -- 2.2.2 Geometric Formulation: Linear Systems with Multiple Base Points -- 2.2.3 Algebraic Formulation: Ideals of Powers of Linear Forms -- 2.2.4 Plane Curves -- 2.2.4.1 The Segre-Harbourne-Gimigliano-Hirschowitz Conjecture -- 2.2.4.2 A Conjecture by Nagata -- 2.2.5 Standard Cremona Involution -- 2.2.6 Historical Readings -- 2.2.6.1 Linear Systems of Plane Curves -- 2.2.6.2 Castelnuovo-Mumford Regularity -- 2.2.7 Further Readings -- 2.2.7.1 Birkhoff Interpolation -- 2.2.7.2 Classification of Surfaces and (-1)-Curves -- 2.2.8 Exercises -- 2.3 Nodal Hypersurfaces. 2.3.1 The Exceptional Cases of the Alexander-Hirschowitz Theorem -- 2.3.1.1 Quadrics in Pn -- 2.3.1.2 Quartics in Pn, with n≤4 -- 2.3.1.3 Cubics in P4 with Seven Nodes -- 2.3.2 Degeneration Techniques in the Proofs of Theorem 2.15 -- 2.3.2.1 Specialisation of Points: Horace Methods -- 2.3.2.2 Degenerations of the Space -- 2.3.3 Secant Varieties of Veronese Varieties -- 2.3.4 Further Readings -- 2.3.4.1 Waring's Problem for Polynomials -- 2.3.5 Historical Readings -- 2.3.5.1 Degenerations and Castelnuovo's Exact Sequences -- 2.3.6 Exercises -- 2.4 Results and Conjectures in Higher Dimension: Base Loci -- 2.4.1 Laface-Ugaglia Conjecture for P3 -- 2.4.2 The Toric Case: n+1 Points of Pn -- 2.4.2.1 A Combinatorial Trick -- 2.4.3 Linear Base Locus: The Case s≤n+2 -- 2.4.3.1 Connections to the Fröberg-Iarrobino Conjecture -- 2.4.4 Base Locus Rational Normal Curves Through n+3 points of Pn and Their Secant Varieties -- 2.4.4.1 Divisorial Joins -- 2.4.5 Base Locus Weyl Cycles Through n+4 Points of Pn,n=3,4 -- 2.4.6 Concluding Remarks -- 2.4.7 Further Readings -- 2.4.7.1 Compactifications of the Moduli Space of Rational Curves -- 2.4.8 Exercises -- 2.5 Birational Properties of Blow-Ups -- 2.5.1 Ampleness, Very Ampleness and l-Very Ampleness -- 2.5.2 Cones of Divisors -- 2.5.2.1 Nef Cones -- 2.5.2.2 Mori Dream Spaces, Effective and Movable Cones of Divisors and Their Mori Chamber Decomposition -- 2.5.3 Further Readings -- 2.5.3.1 Jet Ampleness of Line Bundles -- 2.5.3.2 Blow-Ups of Projective Spaces, Moduli Theory and Hilbert's 14th Problem -- 2.5.3.3 Classification of Mori Dream Space Blow-Ups of Products of Projective Spaces -- 2.5.4 Exercises -- References -- 3 Implicit Representations of Rational Curves and Surfaces -- 3.1 Introduction -- 3.2 Plane Rational Curve Parameterizations -- 3.2.1 The Classical Implicitization Method. 3.2.2 Syzygies of Curve Parameterizations -- 3.2.3 Matrix Representations of Curve Parameterizations -- 3.2.4 Intersection of Two Rational Curves -- 3.2.5 Singular Points -- 3.2.6 Exercises -- 3.3 Matrix Representations in Elimination Theory -- 3.3.1 Fitting Elimination Ideals -- 3.3.1.1 Elimination Ideals -- 3.3.1.2 Fitting Invariants and Elimination Matrices -- 3.3.2 Finite Fibers and Elimination Matrices -- 3.3.3 Koszul-Type Elimination Matrices -- 3.3.3.1 The Ideal of Inertia Forms -- 3.3.3.2 Upper Bound on the Regularity -- 3.3.3.3 Elimination Matrices -- 3.3.4 Hybrid Elimination Matrices -- 3.3.4.1 Sylvester Forms -- 3.3.4.2 Elimination Matrices -- 3.3.5 Exercises -- 3.4 Rational Curve Parameterizations -- 3.4.1 Syzygies and the Equations of the Graph -- 3.4.2 Fibers by Means of Matrix Representations -- 3.4.3 Using Quadratic Relations -- 3.4.3.1 Sylvester Forms -- 3.4.3.2 Matrix Representations by Means of Linear and Quadratic Relations -- 3.4.4 Application to Intersection Problems -- 3.4.4.1 Inversion of a Point -- 3.4.4.2 Intersection of Two Rational Curves -- 3.4.5 Exercises -- 3.5 Rational Hypersurface Parameterizations -- 3.5.1 The Degree of Parameterized Hypersurfaces -- 3.5.2 Graph and Blowup Algebras -- 3.5.2.1 The Rees Algebra -- 3.5.2.2 The Symmetric Algebra -- 3.5.2.3 Approximation Complexes -- 3.5.3 Matrix Representations of Hypersurface Parameterizations -- 3.5.4 Applications to Intersection Problems -- 3.5.5 Further Readings -- References. |
| Record Nr. | UNINA-9910720071903321 |
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Busé Laurent
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| Cham, Switzerland : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic Curves, the Brill and Noether Way / / by Eduardo Casas-Alvero
| Algebraic Curves, the Brill and Noether Way / / by Eduardo Casas-Alvero |
| Autore | Casas-Alvero Eduardo |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (237 pages) : illustrations |
| Disciplina | 516.35 |
| Collana | Universitext |
| Soggetto topico |
Algebraic geometry
Algebraic Geometry |
| ISBN | 3-030-29016-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910360849403321 |
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Casas-Alvero Eduardo
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic cycles and Hodge theory : lectures given at the 2. session of the Centro internazionale matematico estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993 / M. Green, J. Murre, C. Voisin ; editors A. Albano, F. Bardelli
| Algebraic cycles and Hodge theory : lectures given at the 2. session of the Centro internazionale matematico estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993 / M. Green, J. Murre, C. Voisin ; editors A. Albano, F. Bardelli |
| Autore | Green, Mark L. |
| Pubbl/distr/stampa | Berlin [etc.] : Springer, c1994 |
| Descrizione fisica | VI, 275 p. ; 24 cm. |
| Disciplina | 516.35 |
| Altri autori (Persone) |
Murre, Jacob P.
Voisin, Claire |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Geometria algebrica - Congressi
Varietà complesse - Congressi |
| ISBN | 3-540-58692-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNIBAS-000013857 |
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Green, Mark L.
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| Berlin [etc.] : Springer, c1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. della Basilicata | ||
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Algebraic cycles and hodge theory : lectures given at the 2nd session of the centro internazionale matematico estivo (C. I. M. E. ) held in Torino, Italy, June 21 - 29 1993 / / M. Green, J. Murre, C. Voisin ; editors A. Albano, F. Bardelli
| Algebraic cycles and hodge theory : lectures given at the 2nd session of the centro internazionale matematico estivo (C. I. M. E. ) held in Torino, Italy, June 21 - 29 1993 / / M. Green, J. Murre, C. Voisin ; editors A. Albano, F. Bardelli |
| Autore | Green M. |
| Edizione | [1st ed. 1994.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1994] |
| Descrizione fisica | 1 online resource (VIII, 276 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic cycles
Hodge theory |
| ISBN | 3-540-49046-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents: M. Green: Infinitesimal methods in Hodge theory -- J.P. Murre: Algebraic cycles and algebraic aspects of cohomology and k-theory -- C. Voisin: Transcendental methods in the study of algebraic cycles -- P. Pirola: The infinitesimal invariant of C(+)-C(-) -- B. van Geemen: An introduction to the Hodge conjecture for abelian varieties -- S. Müller-Stach: A remark on height pairings. |
| Record Nr. | UNISA-996466653303316 |
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Green M.
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1994] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Algebraic cycles and Hodge theory : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993 / M. Green, J. Murre, C. Voisin ; editors A. Albano, F. Bardelli
| Algebraic cycles and Hodge theory : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993 / M. Green, J. Murre, C. Voisin ; editors A. Albano, F. Bardelli |
| Autore | Green, Mark |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1994 |
| Descrizione fisica | vi, 275 p. ; 24 cm. |
| Disciplina | 516.35 |
| Altri autori (Persone) |
Murre, Jacob P.
Voisin, Claireauthor Albano, Alberto Bardelli, Fabio |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1594 |
| Soggetto topico |
Algebraic cycles - Congresses
Algebraic geometry - Congresses Hodge theory - Congresses |
| ISBN | 354058692X |
| Classificazione |
AMS 14-06
AMS 14C25 AMS 14C30 AMS 14D07 AMS 19E15 AMS 32J25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000657599707536 |
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Green, Mark
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| Berlin : Springer-Verlag, c1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Algebraic cycles and hodge theory [e-book] : lectures given at the 2nd session of the Centro Internationale Matematico Estivo (C.I.M.E.) held in Torino, Italy, june 21-29, 1993 / by Mark L. Green, Jacob P. Murre, Claire Voisin ; edited by Fabio Bardelli, Alberto Albano
| Algebraic cycles and hodge theory [e-book] : lectures given at the 2nd session of the Centro Internationale Matematico Estivo (C.I.M.E.) held in Torino, Italy, june 21-29, 1993 / by Mark L. Green, Jacob P. Murre, Claire Voisin ; edited by Fabio Bardelli, Alberto Albano |
| Autore | Green, Mark L. |
| Pubbl/distr/stampa | Berlin : Springer, 1994 |
| Descrizione fisica | 1 online resource (viii, 276 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) |
Murre, Jacob P.
Voisin, Claire Bardelli, Fabio Albano, Alberto |
| Collana | Lecture Notes in Mathematics, 1617-9692 ; 1594 |
| Soggetto topico |
Mathematics
Geometry, algebraic Algebraic topology |
| ISBN | 9783540490463 |
| Classificazione |
AMS 14C25
AMS 14C30 AMS 14D07 AMS 19E15 AMS 32J25 |
| Formato | Risorse elettroniche |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002249979707536 |
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Green, Mark L.
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| Berlin : Springer, 1994 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
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