國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Complex analytic cycles Ibasic resul...

Barlet, Daniel.

Complex analytic cycles Ibasic results on complex geometry and foundations for the study of cycles /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Complex analytic cycles Iby Daniel Barlet, Jon Magnusson.
其他題名:	basic results on complex geometry and foundations for the study of cycles /
作者:	Barlet, Daniel.
其他作者:	Magnusson, Jon.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xi, 533 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometry, Algebraic.
電子資源:	https://doi.org/10.1007/978-3-030-31163-6
ISBN:	9783030311636$q(electronic bk.)

Complex analytic cycles Ibasic results on complex geometry and foundations for the study of cycles /
Barlet, Daniel.

Complex analytic cycles Ibasic results on complex geometry and foundations for the study of cycles /[electronic resource] :by Daniel Barlet, Jon Magnusson. - Cham :Springer International Publishing :2019. - xi, 533 p. :ill., digital ;24 cm. - Grundlehren der mathematischen wissenschaften,v.3560072-7830 ;. - Grundlehren der mathematischen wissenschaften ;342..

Preliminary material -- Multigraphs and Reduced Complex Spaces -- Analysis and Geometry on a Reduced Complex Space -- Families of Cycles in Complex Geometry.

The book consists of a presentation from scratch of cycle space methodology in complex geometry. Applications in various contexts are given. A significant portion of the book is devoted to material which is important in the general area of complex analysis. In this regard, a geometric approach is used to obtain fundamental results such as the local parameterization theorem, Lelong' s Theorem and Remmert's direct image theorem. Methods involving cycle spaces have been used in complex geometry for some forty years. The purpose of the book is to systematically explain these methods in a way which is accessible to graduate students in mathematics as well as to research mathematicians. After the background material which is presented in the initial chapters, families of cycles are treated in the last most important part of the book. Their topological aspects are developed in a systematic way and some basic, important applications of analytic families of cycles are given. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume. The present book is a translation of the French version that was published in 2014 by the French Mathematical Society.

ISBN: 9783030311636$q(electronic bk.)

Standard No.: 10.1007/978-3-030-31163-6doiSubjects--Topical Terms:

190843
Geometry, Algebraic.

LC Class. No.: QA564 / .B37 2019

Dewey Class. No.: 516.35

Complex analytic cycles Ibasic results on complex geometry and foundations for the study of cycles /
LDR:02571nmm a2200349 a 4500 001 587205
003 DE-He213
005 20200704101250.0
006 m d
007 cr nn 008maaau
008 210326s2019 sz s 0 eng d
020 $a 9783030311636$q(electronic bk.)
020 $a 9783030311629$q(paper)
024 7 $a 10.1007/978-3-030-31163-6 $2 doi
035 $a 978-3-030-31163-6
040 $a GP $c GP
041 1 $a eng $h fre
050 4 $a QA564 $b .B37 2019
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 516.35 $2 23
090 $a QA564 $b .B257 019
100 1 $a Barlet, Daniel. $3 878770
240 1 0 $a Cycles analytiques complexes. $l English
245 1 0 $a Complex analytic cycles I $h [electronic resource] : $b basic results on complex geometry and foundations for the study of cycles / $c by Daniel Barlet, Jon Magnusson.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xi, 533 p. : $b ill., digital ; $c 24 cm.
490 1 $a Grundlehren der mathematischen wissenschaften, $x 0072-7830 ; $v v.356
505 0 $a Preliminary material -- Multigraphs and Reduced Complex Spaces -- Analysis and Geometry on a Reduced Complex Space -- Families of Cycles in Complex Geometry.
520 $a The book consists of a presentation from scratch of cycle space methodology in complex geometry. Applications in various contexts are given. A significant portion of the book is devoted to material which is important in the general area of complex analysis. In this regard, a geometric approach is used to obtain fundamental results such as the local parameterization theorem, Lelong' s Theorem and Remmert's direct image theorem. Methods involving cycle spaces have been used in complex geometry for some forty years. The purpose of the book is to systematically explain these methods in a way which is accessible to graduate students in mathematics as well as to research mathematicians. After the background material which is presented in the initial chapters, families of cycles are treated in the last most important part of the book. Their topological aspects are developed in a systematic way and some basic, important applications of analytic families of cycles are given. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume. The present book is a translation of the French version that was published in 2014 by the French Mathematical Society.
650 0 $a Geometry, Algebraic. $3 190843
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Projective Geometry. $3 676333
700 1 $a Magnusson, Jon. $3 878771
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Grundlehren der mathematischen wissenschaften ; $v 342. $3 597051
856 4 0 $u https://doi.org/10.1007/978-3-030-31163-6
950 $a Mathematics and Statistics (SpringerNature-11649)