Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1984
• Descrizione fisica: 1 online resource (328 pages) : illustrations
• Disciplina: 512/.33
• Soggetto topico: Geometry, Algebraic; Hodge theory; Torelli theorem
• Soggetto non controllato: Abelian integral; Algebraic curve; Algebraic cycle; Algebraic equation; Algebraic geometry; Algebraic integer; Algebraic structure; Algebraic surface; Arithmetic genus; Arithmetic group; Asymptotic analysis; Automorphism; Base change; Bilinear form; Bilinear map; Cohomology; Combinatorics; Commutative diagram; Compactification (mathematics); Complete intersection; Complex manifold; Complex number; Computation; Deformation theory; Degeneracy (mathematics); Differentiable manifold; Dimension (vector space); Divisor (algebraic geometry); Divisor; Elliptic curve; Elliptic surface; Equation; Exact sequence; Fiber bundle; Function (mathematics); Fundamental class; Geometric genus; Geometry; Hermitian symmetric space; Hodge structure; Hodge theory; Homology (mathematics); Homomorphism; Homotopy; Hypersurface; Intersection form (4-manifold); Intersection number; Irreducibility (mathematics); Isomorphism class; Jacobian variety; K3 surface; Kodaira dimension; Kronecker's theorem; Kummer surface; Kähler manifold; Lie algebra bundle; Lie algebra; Linear algebra; Linear algebraic group; Line–line intersection; Mathematical induction; Mathematical proof; Mathematics; Modular arithmetic; Module (mathematics); Moduli space; Monodromy matrix; Monodromy theorem; Monodromy; Nilpotent orbit; Normal function; Open set; Period mapping; Permutation group; Phillip Griffiths; Point at infinity; Pole (complex analysis); Polynomial; Projective space; Pullback (category theory); Quadric; Regular singular point; Resolution of singularities; Riemann–Roch theorem for surfaces; Scientific notation; Set (mathematics); Special case; Spectral sequence; Subgroup; Submanifold; Surface of general type; Surjective function; Tangent bundle; Theorem; Topology; Torelli theorem; Transcendental number; Vector space; Zariski topology; Zariski's main theorem
• Classificazione: SK 240
• Persona (resp. second.): GriffithsPhillip A.
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: Frontmatter -- Table of Contents -- INTRODUCTION / Griffiths, Phillip -- Chapter I. VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES / Griffiths, Phillip / Tu, Loring -- Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION / Cattani, Eduardo H. -- Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS / Morrison, David R. -- Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK) / Zucker, Steven -- Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS / Catanese, Fabrizio M.E. -- Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS / Chakiris, Ken -- Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI / Friedman, Robert -- Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS / Smith, Roy -- Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM / Griffiths, Phillip / Tu, Loring -- Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY / Donagi, Ron -- Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS / Zucker, Steven -- Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES / Zein, Fouad El / Zucker, Steven -- Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS / Clemens, Herbert -- Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS / Griffiths, Phillip -- Backmatter
• Sommario/riassunto: The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.
• Titolo autorizzato: Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106
• ISBN: 1-4008-8165-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154742603321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; Number 106.