000			04050nam a22004813i 4500
001			EBC5890971
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005			20240724113934.0
006			m o d |
007			cr cnu||||||||
008			240724s2019 xx o ||||0 eng d
020			_a9781470453954 _q(electronic bk.)
020			_z9781470443337
035			_a(MiAaPQ)EBC5890971
035			_a(Au-PeEL)EBL5890971
035			_a(OCoLC)1117630891
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA641 .A383 2019
082	0		_a516.3/6
100	1		_aRubinstein, Yanir A.
245	1	0	_aAdvances in Complex Geometry.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2019.
264		4	_c©2019.
300			_a1 online resource (272 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics Series ; _vv.735
505	0		_aCover -- Title page -- Contents -- Preface -- List of seminars -- Geometric pluripotential theory on Kähler manifolds -- Preface -- Part 1. A primer on Orlicz spaces -- Part 2. Finite energy pluripotential theory on Kähler manifolds -- Part 3. The Finsler geometry of the space of Kähler potentials -- Part 4. Applications to Kähler-Einstein metrics -- Part 5. Appendix -- Bibliography -- Local singularities of plurisubharmonic functions -- 1. Introduction -- 2. Preliminaries -- 3. Local solutions of the complex Monge-Ampère equation - basic examples -- 4. Interior estimates -- 5. Local regularity theory -- 6. Singular sets -- References -- Pluriharmonics in general potential theories -- References -- Orbifold regularity of weak Kähler-Einstein metrics -- 1. Introduction -- 2. Regularity on the orbifold locus -- 3. Orbifold partial resolution -- 4. Further discussions -- References -- Analysis of the Laplacian on the moduli space of polarized Calabi-Yau manifolds -- 1. Introduction -- 2. Two Self-Adjoint Extensions of Hodge Laplacian -- 3. Spectrums of Gaffney Extension -- 4. Spectrums of Friedrichs Extension -- 5. Manifolds with Almost Polar Boundary -- 6. Moduli Space of Polarized Calabi-Yau Manifolds -- 7. Self-Adjointness of the Laplacian on Moduli Space -- 8. An Example -- References -- On orthogonal Ricci curvature -- 1. Orthogonal Ricci curvature -- 2. Comparison theorems -- 3. Vanishing theorems -- 4. Examples: classical Kähler C-spaces with ₂=1 -- 5. Examples: projectivized vector bundles -- 6. Structural results -- References -- The Anomaly flow on unimodular Lie groups -- 1. Introduction -- 2. The curvature of unitary connections with torsion on Lie groups -- 3. Hull-Strominger systems and Anomaly flows -- References -- Pseudoconcave decompositions in complex manifolds -- References -- Back Cover.
520			_aThis 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aGeometry, Differential-Congresses.
650		0	_aGeometry, Algebraic-Congresses.
650		0	_aGeometry-Congresses.
655		4	_aElectronic books.
700	1		_aShiffman, Bernard.
776	0	8	_iPrint version: _aRubinstein, Yanir A. _tAdvances in Complex Geometry _dProvidence : American Mathematical Society,c2019 _z9781470443337
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5890971 _zClick to View
999			_c13189 _d13189