國立虎尾科技大學 |

An Invitation to Web Geometry

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Invitation to Web Geometry/ by Jorge Vitório Pereira, Luc Pirio.
作者:	Vitório Pereira, Jorge.
其他作者:	Pirio, Luc.
面頁冊數:	XVII, 213 p. 29 illus., 17 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic geometry. -
電子資源:	https://doi.org/10.1007/978-3-319-14562-4
ISBN:	9783319145624

An Invitation to Web Geometry
Vitório Pereira, Jorge.

An Invitation to Web Geometry[electronic resource] /by Jorge Vitório Pereira, Luc Pirio. - 1st ed. 2015. - XVII, 213 p. 29 illus., 17 illus. in color.online resource. - IMPA Monographs ;2. - IMPA Monographs ;3.

Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs. .

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.

ISBN: 9783319145624

Standard No.: 10.1007/978-3-319-14562-4doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

An Invitation to Web Geometry
LDR:02525nam a22004095i 4500 001 968780
003 DE-He213
005 20200630110227.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319145624 $9 978-3-319-14562-4
024 7 $a 10.1007/978-3-319-14562-4 $2 doi
035 $a 978-3-319-14562-4
050 4 $a QA564-609
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 516.35 $2 23
100 1 $a Vitório Pereira, Jorge. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1264379
245 1 3 $a An Invitation to Web Geometry $h [electronic resource] / $c by Jorge Vitório Pereira, Luc Pirio.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XVII, 213 p. 29 illus., 17 illus. in color. $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 IMPA Monographs ; $v 2
505 0 $a Local and Global Webs -- Abelian Relations -- Abel's Addition Theorem -- The Converse to Abel's Theorem -- Algebraization -- Exceptional Webs. .
520 $a This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.
650 0 $a Algebraic geometry. $3 1255324
650 0 $a Differential geometry. $3 882213
650 0 $a Functions of complex variables. $3 528649
650 1 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Differential Geometry. $3 671118
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 672032
700 1 $a Pirio, Luc. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1066706
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319145631
776 0 8 $i Printed edition: $z 9783319145617
776 0 8 $i Printed edition: $z 9783319385082
830 0 $a IMPA Monographs ; $v 3 $3 1262818
856 4 0 $u https://doi.org/10.1007/978-3-319-14562-4
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)