國立虎尾科技大學 |

Complex Analytic Cycles I = Basic Results on Complex Geometry and Foundations for the Study of Cycles /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Complex Analytic Cycles I/ by Daniel Barlet, Jón Magnússon.
Reminder of title:	Basic Results on Complex Geometry and Foundations for the Study of Cycles /
Author:	Barlet, Daniel.
other author:	Magnússon, Jón.
Description:	XI, 533 p. 60 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functions of complex variables. -
Online resource:	https://doi.org/10.1007/978-3-030-31163-6
ISBN:	9783030311636

Complex Analytic Cycles I = Basic 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, Jón Magnússon. - 1st ed. 2019. - XI, 533 p. 60 illus.online resource. - Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,3560072-7830 ;. - Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,351.

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

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

528649
Functions of complex variables.

LC Class. No.: QA331.7

Dewey Class. No.: 515.94

Complex Analytic Cycles I = Basic Results on Complex Geometry and Foundations for the Study of Cycles /
LDR:02923nam a22004095i 4500 001 1008093
003 DE-He213
005 20200704101250.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030311636 $9 978-3-030-31163-6
024 7 $a 10.1007/978-3-030-31163-6 $2 doi
035 $a 978-3-030-31163-6
050 4 $a QA331.7
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.94 $2 23
100 1 $a Barlet, Daniel. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1301884
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, Jón Magnússon.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XI, 533 p. 60 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, $x 0072-7830 ; $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 Functions of complex variables. $3 528649
650 0 $a Projective geometry. $3 1255393
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 672032
650 2 4 $a Projective Geometry. $3 1021390
700 1 $a Magnússon, Jón. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1301885
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030311629
776 0 8 $i Printed edition: $z 9783030311643
776 0 8 $i Printed edition: $z 9783030311650
830 0 $a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, $x 0072-7830 ; $v 351 $3 1257746
856 4 0 $u https://doi.org/10.1007/978-3-030-31163-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)