07063nam 22017895 450 991015474260332120190708092533.01-4008-8165-X10.1515/9781400881659(CKB)3710000000631395(SSID)ssj0001651343(PQKBManifestationID)16425723(PQKBTitleCode)TC0001651343(PQKBWorkID)13483741(PQKB)11310897(MiAaPQ)EBC4738546(DE-B1597)468011(OCoLC)979970558(DE-B1597)9781400881659(EXLCZ)99371000000063139520190708d2016 fg engurcnu||||||||txtccrTopics in Transcendental Algebraic Geometry. (AM-106), Volume 106 /Phillip A. GriffithsPrinceton, NJ : Princeton University Press, [2016]©19841 online resource (328 pages) illustrationsAnnals of Mathematics Studies ;266Bibliographic Level Mode of Issuance: Monograph0-691-08339-8 0-691-08335-5 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 -- BackmatterThe description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.Annals of mathematics studies ;Number 106.Geometry, AlgebraicHodge theoryTorelli theoremAbelian 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.Geometry, Algebraic.Hodge theory.Torelli theorem.512/.33SK 240rvkGriffiths Phillip A., DE-B1597DE-B1597BOOK9910154742603321Topics in Transcendental Algebraic Geometry. (AM-106), Volume 1062785792UNINA