We shall study a notion of capacity for compact subsets of complex projective space. Our principal motivation for this comes from a theorem of Sibony and Wong 8 , Let K be a compact circled subset of the unit sphere in C2.
Recent Developments in Several Complex Variables. (AM-100), Volume 100
โ Scribed by John Erik Fornaess
- Publisher
- Princeton University Press
- Year
- 2016
- Tongue
- English
- Leaves
- 467
- Series
- Annals of Mathematics Studies; 100
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The description for this book, Recent Developments in Several Complex Variables. (AM-100), Volume 100, will be forthcoming.
โฆ Table of Contents
TABLE OF CONTENTS
THE FOUNDING OF THE ANNALS STUDIES
FOREWORD
PROJECTIVE CAPACITY
ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES
GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM E8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C^2
ON METRICS AND DISTORTION THEOREMS
NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE โ-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS
DAS FORMALE PRINZIP FรR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBรNDEL
PERTURBATIONS OF ANALYTIC VARIETIES
BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES
NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE โ-PROBLEM
THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS
THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN C^n
STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS
GLOBALE HOLOMORPHE KERNE ZUR LรSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIAL GLEICHUNGEN
MAPPINGS BETWEEN CR MANIFOLDS
BOUNDARY REGULARITY OF โ
ON CP^1 AS AN EXCEPTIONAL SET
ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C^2
A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTANโS THEOREM B
SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS
LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES
ON APPELLโS SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
A CLASS OF HYPERBOLIC MANIFOLDS
INTERPOLATION MANIFOLDS
A SURVEY OF SOME RECENT RESULTS IN C^โ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES
THE FERMAT SURFACE AND ITS PERIODS
SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS
๐ SIMILAR VOLUMES
We shall study a notion of capacity for compact subsets of complex projective space. Our principal motivation for this comes from a theorem of Sibony and Wong 8 , Let K be a compact circled subset of the unit sphere in C2.