An effective Matsusaka big theorem
From MaRDI portal
Publication:1337588
DOI10.5802/aif.1378zbMath0803.32017OpenAlexW2167218575MaRDI QIDQ1337588
Publication date: 10 November 1994
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_5_1387_0
estimatesample line bundleLelong numberholomorphic line bundleclosed positive currentpositive line bundlecompact complex manifoldMatsusaka's big theoremstrong Morse inequality
Embeddings in algebraic geometry (14E25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)
Related Items
Global generation of adjoint bundles, Unnamed Item, Convexity and Zariski decomposition structure, CANONICAL SYMPLECTIC STRUCTURES AND DEFORMATIONS OF ALGEBRAIC SURFACES, Effective geometric Hermitian positivstellensatz, Holomorphic Morse inequalities for orbifolds, The isomorphism problem of projective schemes and related algorithmic problems, Inequalities of Chern classes on nonsingular projective \(n\)-folds with ample canonical or anti-canonical line bundles, Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics, Multiplier ideals and integral closure of monomial ideals: An analytic approach, Big line bundles over arithmetic varieties, Positivity of valuations on convex bodies and invariant valuations by linear actions, Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds, An algebraic version of Demailly’s asymptotic Morse inequalities, Effectivity of Brauer-Manin obstructions, G-marked moduli spaces, Some remarks on the work of Lawrence Ein, L2Extension for jets of holomorphic sections of a Hermitian line Bundle, Divisorial Zariski decomposition and algebraic Morse inequalities, Recent results on the Kobayashi and Green-Griffiths-Lang conjectures, A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles, The bounded height conjecture for semiabelian varieties, Bézout-Type Inequality in Convex Geometry, Local positivity and effective Diophantine approximation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical criterion for very ample line bundles
- Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Global Generation of Pluricanonical and Adjoint Linear Series on Smooth Projective Threefolds
- Riemann-Roch Type Inequalities
- Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
- On Canonically Polarized Varieties (II)
- Polarized Varieties with a Given Hilbert Polynomial
- Effective base point freeness