Degeneration of Kähler manifolds
From MaRDI portal
Publication:1236147
DOI10.1215/S0012-7094-77-04410-6zbMath0353.14005OpenAlexW1967426207MaRDI QIDQ1236147
Publication date: 1977
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-77-04410-6
Classical real and complex (co)homology in algebraic geometry (14F25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
Related Items
Stable pair invariants under blow-ups, Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties, Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces, Degenerations of rational surfaces with trivial monodromy, The de Rham homotopy theory of complex algebraic varieties. I, Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory), Etude topologique des formes logarithmiques fermées. (Topological study of closed logarithmic forms), An Introduction to Hodge Structures, Unnamed Item, Convergence of volume forms on a family of log Calabi-Yau varieties to a non-Archimedean measure, Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures, Unnamed Item, On a Simplicial Complex Associated to the Monodromy, Nonvanishing of external products for higher Chow groups, Canonical sections of Hodge bundles on moduli spaces, Unnamed Item, Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces, Limits and singularities of normal functions, On algebraic isomorphisms of cohomology of a compactification of the Néron model with multiplications from an imaginary quadratic field, Remarks on degenerations of hyper-Kähler manifolds, Examples of non-Kähler Calabi-Yau 3-folds with arbitrarily large \(b_2\), Gromov–Witten theory of complete intersections via nodal invariants, Examples of non‐Kähler Calabi–Yau manifolds with arbitrarily large b2, Tropical homology, Intersection numbers of sections of elliptic surfaces, On an inductive approach to the standard conjecture for a fibred complex variety with strong semistable degeneracies, Degeneration of Kunev surfaces. I, Hodge numbers of Landau-Ginzburg models, Degeneration of algebraic manifolds and the spectrum of Laplacian, Clemens-Schmid exact sequence in characteristic \(p\), Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik, The complex exponent of a singularity does not change along strata mu=const, On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map, Terminal Fano threefolds and their smoothings, Monodromy of a family of hypersurfaces containing a given subvariety, Dehn twists and invariant classes, Vanishing cycles and monodromy of complex polynomials, Néron models and limits of Abel–Jacobi mappings, On the Beauville form of the known irreducible symplectic varieties, On monodromies of a degeneration of irreducible symplectic Kähler manifolds, Genus-decreasing relation of Gromov-Witten invariants for surfaces under blow-up, Double coverings with \(h^{2, 0} = 0\) over compact Kähler manifolds, Théorie de Hodge des cycles évanescents, Local Gromov-Witten invariants of blowups of Fano surfaces, CALABI–YAU CONSTRUCTION BY SMOOTHING NORMAL CROSSING VARIETIES, Recovery of vanishing cycles by log geometry, Tropical and non-Archimedean limits of degenerating families of volume forms, Variation of mixed Hodge structure. I, Modules de Hodge polarisables. (Polarisable Hodge modules), A degenerating family of quintic surfaces with trivial monodromy, Blow-up formulae of high genus Gromov-Witten invariants for threefolds, Calabi-Yau coverings over some singular varieties and new Calabi-Yau 3-folds with Picard number one, On the monodromy at infinity of a polynomial map, II, The Hodge theory of algebraic maps, The moduli space of cubic threefolds as a ball quotient, Hodge theory of degenerations. I: Consequences of the decomposition theorem, On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci, The fundamental group of the open symmetric product of a hyperelliptic curve, The kernel spectral sequence of vanishing cycles, On algebraic isomorphisms of rational cohomology of a Künnemann compactification of the Néron minimal model, Compactifications of the period space of Enriques surfaces. I, Sur le théorème local des cycles invariants. (On the local invariant cycle theorem), Unnamed Item, Asymptotic integrals and Hodge structures, The decomposition theorem, perverse sheaves and the topology of algebraic maps, On the standard conjecture for a 3-dimensional variety fibered over a surface, The primitive cohomology of the theta divisor of an abelian fivefold, Degenerations of Hodge structure, Intersection numbers for normal functions, Tropical geometry and the motivic nearby fiber, Pullbacks of hyperplane sections for Lagrangian fibrations are primitive, Cohomology of the flag variety under PBW degenerations, Double solids, Symplectic four-manifolds and projective surfaces, Classification of non-Kähler surfaces and locally conformally Kähler geometry, On the standard conjecture for projective compactifications of Néron models of -dimensional Abelian varieties, Topological triviality of various analytic families, A criterion for flatness of Hodge bundles over curves and geometric applications, Non-abelian local invariant cycles, Polarized mixed Hodge structures: On irrationality of threefolds via degeneration, On a Theorem of Greuel and Steenbrink, Spectral sequence of weights in Hyodo-Kato cohomology, On the geometry of regular maps from a quasi-projective surface to a curve