Complex and Symplectic Geometry

Daniele Angella, Costantino Medori, Adriano Tomassini (Herausgeber)

Buch | Hardcover

VIII, 262 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-62913-1 (ISBN)

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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.

Daniele Angella graduated in Mathematics at Università di Parma, and obtained his Ph.D. in Mathematics at Università di Pisa in 2013. He was a postdoc at INdAM and junior visiting fellow at Centro di Ricerca Matematica "Ennio de Giorgi" in Pisa. He is now a researcher at Università di Firenze. His research interests are in differential and complex geometry. Adriano Tomassini received his Ph.D. in Mathematics at the University of Forence in 1997. He was assistant professor at the University of Palermo and then at the University of Parma, where he is currently professor of geometry. He has visited the Universities of Michigan, Minnesota, Notre Dame and Stanford. His research interests are in complex, symplectic and differential geometry. He is the author of around 55 publications.

1 Generalized Connected Sum Constructions for Resolutions of Extremal and KCSC Orbifolds.- 2 Ohsawa-Takegoshi Extension Theorem for Compact Kähler Manifolds And Applications.- 3 TBA.- 4 The Monge-Ampère Energy Class E.- 5 Quasi-Negative Holomorphic Sectional Curvature and Ampleness of the Canonical Class.- 6 Surjective Holomorphic Maps onto Oka Manifolds.- 7 Stabilized Symplectic Embeddings.- 8 On the Obstruction of the Deformation Theory in the DGLA of Graded Derivations.- 9 Cohomologies On Hypercomplex Manifolds.- 10 The Teichmüller Stack.- 11 Embedding of LCK Manifolds with Potential into HOPF Manifolds using Riesz-Schauder Theorem.- 12 Orbits of Real Forms, Matsuki Duality and CR-Cohomology.- 13 Generalized Geometry of Norden and Para Norden Manifolds.- 14 Spectral and Eigenfunction Asymptotics in Toeplitz Quantization.- 15 On Bi-Hermitian Surfaces.- 16 Kähler-Einstein Metrics on Q-Smoothable Fano Varieties, their Moduli and some Applications.- 17 Cohomological Aspects on Complex and Symplectic Manifolds.- 18 Towards the Classification of Class VII Surfaces.

Erscheinungsdatum	10.11.2017
Reihe/Serie	Springer INdAM Series
Zusatzinfo	VIII, 262 p. 19 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	573 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraic Geometry • Complex analysis, complex variables • complex geometry • CR structure • Differential & Riemannian geometry • Differential Geometry • Differential & Riemannian geometry • Global Analysis • Global Analysis and Analysis on Manifolds • Mathematics • mathematics and statistics • Numerical analysis • Several Complex Variables and Analytic Spaces • Symplectic Geometry
ISBN-10	3-319-62913-1 / 3319629131
ISBN-13	978-3-319-62913-1 / 9783319629131
Zustand	Neuware