Complex and Symplectic Geometry

Description

This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds; analytic techniques in Kähler and non-Kähler geometry; almost-complex and symplectic structures; special structures on complex manifolds; and deformations of complex objects. The work is intended for researchers in these areas. Front Matter ....Pages i-viii Generalized Connected Sum Constructions for Resolutions of Extremal and Kcsc Orbifolds (Claudio Arezzo)....Pages 1-18 Ohsawa-Takegoshi Extension Theorem for Compact Kähler Manifolds and Applications (Junyan Cao)....Pages 19-38 Teichmüller Spaces of Generalized Hyperelliptic Manifolds (Fabrizio Catanese, Pietro Corvaja)....Pages 39-49 The Monge-Ampère Energy Class \(E\) (Eleonora Di Nezza)....Pages 51-59 Quasi-Negative Holomorphic Sectional Curvature and Ampleness of the Canonical Class (Simone Diverio)....Pages 61-71 Surjective Holomorphic Maps onto Oka Manifolds (Franc Forstnerič)....Pages 73-84 Stabilized Symplectic Embeddings (Richard Hind)....Pages 85-93 On the Obstruction of the Deformation Theory in the DGLA of Graded Derivations (Paolo de Bartolomeis, Andrei Iordan)....Pages 95-105 Cohomologies on Hypercomplex Manifolds (Mehdi Lejmi, Patrick Weber)....Pages 107-121 The Teichmüller Stack (Laurent Meersseman)....Pages 123-136 Embedding of LCK Manifolds with Potential into Hopf Manifolds Using Riesz-Schauder Theorem (Liviu Ornea, Misha Verbitsky)....Pages 137-148 Orbits of Real Forms, Matsuki Duality and CR-cohomology (Stefano Marini, Mauro Nacinovich)....Pages 149-162 Generalized Geometry of Norden and Para Norden Manifolds (Antonella Nannicini)....Pages 163-178 Spectral and Eigenfunction Asymptotics in Toeplitz Quantization (Roberto Paoletti)....Pages 179-190 On Bi-Hermitian Surfaces (M. Pontecorvo)....Pages 191-210 Kähler-Einstein Metrics on \(\mathbb{Q}\)-Smoothable Fano Varieties, Their Moduli and Some Applications (Cristiano Spotti)....Pages 211-229 Cohomological Aspects on Complex and Symplectic Manifolds (Nicoletta Tardini)....Pages 231-247 Towards the Classification of Class VII Surfaces (Andrei Teleman)....Pages 249-262