Transcendental Methods in Algebraic Geometry: Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held in Cetraro, Italy, July 4-12, 1994Contents: J.-P. Demailly: L(2) Vanishing Theorems for Positive Line Bundles and Adjunction Theory.- T. Peternell: Manifolds of Semi-Positive Curvature.- G. Tian: Kähler-Einstein Metrics on Algebraic Manifolds.- A. Tyurin: Six Lectures on Four Manifolds |
Contents
Contents | 4 |
Lelong Numbers and Intersection Theory P | 13 |
Holomorphic Vector Bundles Connections and Curvature p | 21 |
Copyright | |
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Transcendental Methods in Algebraic Geometry Jean-Pierre Demailly,Thomas Peternell,Gang Tian No preview available - 2014 |
Common terms and phrases
Albanese map algebraic geometry algebraic surfaces ample line bundle analytic assume b₁ bidegree bounded c₁ c₁(L c₁(M canonical Chern class closed positive current coefficients cohomology class compact complex compact Kähler manifold complex manifold cone conjecture connected constant converges Corollary curvature form decomposition defined definition denote dimension divisor exact sequence exists Fano manifolds fiber finite étale cover follows formula global hence hermitian metric Hilb homogeneous induction inequality integral intersection invariant irreducible Kähler metric Kähler-Einstein metric Kodaira Lelong number Lemma linear manifolds with nef Math metric g moduli space Monge-Ampère equation nef line bundle nef tangent bundles polynomial projective manifold proof Proposition prove psh function rational curves resp Ricci curvature s-jets semi-positive sheaf sheaves singular metric smooth subset subvariety surjective tangent bundle trivial vanishing theorem vector bundle zero