Positivity of vector bundles and Hodge theory
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Publication:5021421
DOI10.1142/S0129167X21400085zbMath1496.14010arXiv1803.07405OpenAlexW3184285423MaRDI QIDQ5021421
Mark L. Green, Phillip A. Griffiths
Publication date: 13 January 2022
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.07405
complex manifoldsanalytic spacescompact analytic spacesholomorphic fiber spacesresearch exposition (monographssurvey articles)
Period matrices, variation of Hodge structure; degenerations (32G20) Hodge theory in global analysis (58A14) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Holomorphic bundles and generalizations (32L05)
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- Komplex-analytische Blätterung reeller Hyperflächen im \(C^n\)
- Kodaira dimension of algebraic fiber spaces over curves
- Higgs bundles and local systems
- On Kähler fiber spaces over curves
- On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds.
- Symmetric differentials and variations of Hodge structures
- Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
- Degeneration of Hodge structures
- Hyperbolic algebraic varieties and holomorphic differential equations
- Symmetric differentials and the fundamental group
- Principalization of ideals on toroidal orbifolds
- Curvature of vector bundles associated to holomorphic fibrations
- The direct image of the relative dualizing sheaf needs not be semiample
- Computing invariants of semi-log-canonical surfaces
- Manifolds with ample canonical class
- Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
- Equations différentielles à points singuliers réguliers
- Quantitative extensions of pluricanonical forms and closed positive currents
- Projective Algebraicity of Minimal Compactifications of Complex-Hyperbolic Space Forms of Finite Volume
- Log-canonical pairs and Gorenstein stable surfaces with
- Moduli of varieties of general type
- Weak positivity via mixed Hodge modules
- Gorenstein stable surfaces with KX2=1 and pg>0
- Positivity of twisted relative pluricanonical bundles and their direct images
- A strong hyperbolicity property of locally symmetric varieties
- Numerical bounds for semi-stable families of curves or of certain higher-dimensional manifolds
- Hodge metrics and the curvature of higher direct images
- The decomposition theorem, perverse sheaves and the topology of algebraic maps
- Minimal models and the Kodaira dimension of algebraic fiber spaces.
- Foliations and complex monge-ampère equations
- Answer to a question by Fujita on Variation of Hodge Structures
- On the Locus of Hodge Classes
- Tame topology of arithmetic quotients and algebraicity of Hodge loci
- Singular Hermitian metrics and positivity of direct images of pluricanonical bundles
- Period Mappings and Period Domains
- Kahler-Einstein metrics and algebraic geometry
- Hodge metrics and positivity of direct images
- Mixed Hodge Structures
- FAMILIES OF ALGEBRAIC CURVES WITH FIXED DEGENERACIES
- On the negativity of kernels of Kodaira-Spencer maps on Hodge bundles and applications
