Volume: 735; 2019; 259 pp; Softcover
MSC: Primary 53; 32;
Print ISBN: 978-1-4704-4333-7
Product Code: CONM/735
List Price: $117.00
AMS Member Price: $93.60
MAA Member Price: $105.30
Electronic ISBN: 978-1-4704-5395-4
Product Code: CONM/735.E
List Price: $117.00
AMS Member Price: $93.60
MAA Member Price: $105.30
Advances in Complex Geometry
Share this pageEdited by Yanir A. Rubinstein; Bernard Shiffman
This volume contains contributions from speakers at the 2015–2018 joint Johns Hopkins University and University of Maryland Complex Geometry Seminar. It begins with a survey article on recent developments in pluripotential theory and its applications to Kähler–Einstein metrics and continues with articles devoted to various aspects of the theory of complex manifolds and functions on such manifolds.
Readership
Graduate students and research mathematicians interested in complex geometry and complex analysis.
Table of Contents
Advances in Complex Geometry
- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- List of seminars ix10
- Geometric pluripotential theory on Kähler manifolds 112
- Local singularities of plurisubharmonic functions 105116
- Pluriharmonics in general potential theories 145156
- Orbifold regularity of weak Kähler-Einstein metrics 169180
- Analysis of the Laplacian on the moduli space of polarized Calabi-Yau manifolds 179190
- 1. Introduction 179190
- 2. Two Self-Adjoint Extensions of Hodge Laplacian 180191
- 3. Spectrums of Gaffney Extension 182193
- 4. Spectrums of Friedrichs Extension 188199
- 5. Manifolds with Almost Polar Boundary 188199
- 6. Moduli Space of Polarized Calabi-Yau Manifolds 194205
- 7. Self-Adjointness of the Laplacian on Moduli Space 196207
- 8. An Example 197208
- References 201212
- On orthogonal Ricci curvature 203214
- The Anomaly flow on unimodular Lie groups 217228
- Pseudoconcave decompositions in complex manifolds 239250
- Back Cover Back Cover1272