عنوان

L² approaches in several complex variables :

شابک

4431568522

شابک

9784431568520

شابک اشتباه

4431568514

شابک اشتباه

9784431568513

عنوان اصلي

L² approaches in several complex variables :

نام عام مواد

[Book]

ساير اطلاعات عنواني

towards the Oka-Cartan theory with precise bounds /

نام نخستين پديدآور

Takeo Ohsawa.

وضعيت ويراست

Second edition

محل نشرو پخش و غیره

[Tokyo] :

نام ناشر، پخش کننده و غيره

Springer Japan KK,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

عنوان فروست

Springer monographs in mathematics

متن يادداشت

First edition published as "L² approaches in several complex variables: development of Oka-Cartan theory by L² estimates for the ∂̄ operator" in 2015.

متن يادداشت

Basic notions and classical results -- Analyzing the L² ∂¯-cohomology -- L² Oka-Cartan theory -- Bergman kernels -- L² approaches to holomorphic foliations.

بدون عنوان

0

متن يادداشت

"This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise results on the L² extension of holomorphic functions in the past 5 years. In Chapter 1, the classical questions of several complex variables motivating the development of this field are reviewed after necessary preparations from the basic notions of those variables and of complex manifolds such as holomorphic functions, pseudoconvexity, differential forms, and cohomology. In Chapter 2, the L² method of solving the d-bar equation is presented emphasizing its differential geometric aspect. In Chapter 3, a refinement of the Oka-Cartan theory is given by this method. The L² extension theorem with an optimal constant is included, obtained recently by Z. Błocki and separately by Q.-A. Guan and X.-Y. Zhou. In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani-Yamaguchi, Berndtsson, Guan-Zhou, and Berndtsson-Lempert. Most of these results are obtained by the L² method. In the last chapter, rather specific results are discussed on the existence and classification of certain holomorphic foliations and Levi flat hypersurfaces as their stables sets. These are also applications of the L² method obtained during the past 15 years."--Publisher

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9784431568520

عنوان

L² approaches in several complex variables.

شماره استاندارد بين المللي کتاب و موسيقي

9784431568513

موضوع مستند نشده

Analytic spaces.

موضوع مستند نشده

Functions of several complex variables.

موضوع مستند نشده

Holomorphic functions.

موضوع مستند نشده

Analytic spaces.

موضوع مستند نشده

Functions of several complex variables.

موضوع مستند نشده

Holomorphic functions.

موضوع مستند نشده

MAT034000

موضوع مستند نشده

PBKD

موضوع مستند نشده

PBKD

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Ōsawa, Takeo,1951-

تاريخ عمليات

20200823200150.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y