Title | Complex Geometry [electronic resource] : Collection of Papers Dedicated to Hans Grauert / edited by Ingrid Bauer, Fabrizio Catanese, Thomas Peternell, Yujiro Kawamata, Yum-Tong Siu |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-642-56202-0 |
Descript | XXII, 340 p. online resource |
Even Sets of Eight Rational Curves on a K3-surface -- 0 Introduction -- 1 Double Sextics with Eight Nodes -- 2 Double Sextics with Eight Tritangents -- 3 Quartic Surfaces with Eight Nodes -- 4 Quartic Surfaces with Eight Lines -- 5 Double Quadrics with Eight Nodes -- 6 Double Quadrics with Eight Double Tangents -- 7 Comments -- References -- A Reduction Map for Nef Line Bundles -- 1 Introduction -- 2 A Reduction Map for Nef Line Bundles -- 3 A Counterexample -- References -- Canonical Rings of Surfaces Whose Canonical System has Base Points -- 0 Introduction -- 1 Canonical Systems with Base Points -- 2 The Canonical Ring of Surfaces with K2 = 7, pg = 4 Birational to a Sextic: From Algebra to Geometry -- 3 The Canonical Ring of Surfaces with K2 = 7, pg = 4 Birational to a Sextic: Explicit Computations -- 4 An Explicit Family -- References -- Appendix 1 -- Appendix 2 -- Attractors -- 1 Introduction -- 2 Endomorphisms -- 3 Hyperbolic Diffeomorphisms -- 4 Holomorphic Endomorphisms of ?k -- References -- A Bound on the Irregularity of Abelian Scrolls in Projective Space -- 0 Introduction -- 1 Non-Existence of Scrolls -- 2 Existence of Scrolls -- References -- On the Frobenius Integrability of Certain Holomorphic p-Forms -- 1 Main Results -- 2 Proof of the Main Theorem -- References -- Analytic Moduli Spaces of Simple (Co)Framed Sheaves -- 1 Introduction -- 2 Preparations -- 3 Simple F-Coframed Sheaves -- 4 Proof of Theorem 1.1 -- References -- Cycle Spaces of Real Forms of SLn(?) -- 1 Background -- 2 Schubert Slices -- 3 Cycle Spaces of Open Orbits of SLn(?) and SLn(?) -- References -- On a Relative Version of Fujitaโs Freeness Conjecture -- 1 Introduction -- 2 Review on the Hodge Bundles -- 3 Parabolic Structure in Several Variables -- 4 Base Change and a Relative Vanishing Theorem -- 5 Proof of Theorem 1.7 -- References -- Characterizing the Projective Space after Cho, Miyaoka and Shepherd-Barron -- 1 Introduction -- 2 Setup -- 3 Proof of the Characterization Theorem -- References -- Manifolds With Nef Rank 1 Subsheaves in $$ \Omega_X̂1 $$ -- 1 Introduction -- 2 Generalities -- 3 The Case Where ?(X) = 1 -- 4 The Case Where ?(X) = 0 -- References -- The Simple Group of Order 168 and K3 Surfaces -- 0 Introduction -- 1 The Niemeier Lattices -- 2 Proof of the Main Theorem -- References -- A Precise L2 Division Theorem -- 0 Introduction -- 1 L2 Extension Theorem on Complex Manifolds -- 2 Extension and Division -- 3 Proof of Theorem -- References -- Irreducible Degenerations of Primary Kodaira Surfaces -- 0 Introduction -- 1 Smooth Kodaira Surfaces -- 2 D-semistable Surfaces with Trivial Canonical Class -- 3 Hopf Surfaces -- 4 Ruled Surfaces over Elliptic Curves -- 5 Rational Surfaces and Honeycomb Degenerations -- 6 The Completed Moduli Space and its Boundary -- References -- Extension of Twisted Pluricanonical Sections with Plurisubharmonic Weight and Invariance of Semipositively Twisted Plurigenera for Manifolds Not Necessarily of General Type -- 0 Introduction -- 1 Review of Existing Argument for Invariance of Plurigenera -- 2 Global Generation of Multiplier Ideal Sheaves with Estimates -- 3 Extension Theorems of Ohsawa-Takegoshi Type from Usual Basic Estimates with Two Weight Functions -- 4 Induction Argument with Estimates -- 5 Effective Version of the Process of Taking Powers and Roots of Sections -- 6 Remarks on the Approach of Generalized Bergman Kernels -- References -- Base Spaces of Non-Isotrivial Families of Smooth Minimal Models -- 1 Differential Forms on Moduli Stacks -- 2 Mild Morphisms -- 3 Positivity and Ampleness -- 4 Higgs Bundles and the Proof of 1.4 -- 5 Base Spaces of Families of Smooth Minimal Models -- 6 Subschemes of Moduli Stacks of Canonically Polarized Manifolds -- 7 A Vanishing Theorem for Sections of Symmetric Powers of Logarithmic One Forms -- References -- Uniform Vector Bundles on Fano Manifolds and an Algebraic Proof of Hwang-Mok Characterization of Grassmannians -- 0 Introduction -- 1 M-Uniform Manifolds -- 2 Atiyah Extension and Twisted Trivial Bundles -- 3 Characterization of Grassmann Manifolds -- 4 Characterization of Isotropic Grassmann Manifolds -- References