國立高雄大學圖資館 |

Language: English

Back

Holomorphic foliations with singular...

Scardua, Bruno.

Holomorphic foliations with singularitieskey concepts and modern results /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Holomorphic foliations with singularitiesby Bruno Scardua.
Reminder of title:	key concepts and modern results /
Author:	Scardua, Bruno.
Published:	Cham :Springer International Publishing :2021.
Description:	xi, 167 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Foliations (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-76705-1
ISBN:	9783030767051$q(electronic bk.)

Holomorphic foliations with singularitieskey concepts and modern results /
Scardua, Bruno.

Holomorphic foliations with singularitieskey concepts and modern results /[electronic resource] :by Bruno Scardua. - Cham :Springer International Publishing :2021. - xi, 167 p. :ill. (some col.), digital ;24 cm. - Latin american mathematics series. - Latin american mathematics series..

Preface -- The Classical Notions of Foliations -- Some Results from Several Complex Variables -- Holomorphic Foliations: Nonsingular Case -- Holomorphic Foliations with Singularities -- Holomorphic Foliations Given by Closed 1-Forms -- Reduction of Singularities -- Holomorphic First Integrals -- Dynamics of a Local Diffeomorphism -- Foliations on Complex Projective Spaces -- Foliations with Algebraic Limit Sets -- Some Modern Questions -- Miscellaneous exercises and some open questions.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H. Cartan, K. Oka, T. Nishino, and M. Suzuki. The text starts with a gentle presentation of the classical notion of foliations, advancing to holomorphic foliations and then holomorphic foliations with singularities. The theory behind reduction of singularities is described in detail, as well the cases for dynamics of a local diffeomorphism and foliations on complex projective spaces. A final chapter brings recent questions in the field, as holomorphic flows on Stein spaces and transversely homogeneous holomorphic foliations, along with a list of open questions for further study and research. Selected exercises at the end of each chapter help the reader to grasp the theory. Graduate students in Mathematics with a special interest in the theory of foliations will especially benefit from this book, which can be used as supplementary reading in Singularity Theory courses, and as a resource for independent study on this vibrant field of research.

ISBN: 9783030767051$q(electronic bk.)

Standard No.: 10.1007/978-3-030-76705-1doiSubjects--Topical Terms:

340148
Foliations (Mathematics)

LC Class. No.: QA613.62 / .S33 2021

Dewey Class. No.: 514.72

Holomorphic foliations with singularitieskey concepts and modern results /
LDR:02858nmm 22003375a 4500 001 614067
003 DE-He213
005 20211201185749.0
006 m d
007 cr nn 008maaau
008 220627s2021 sz s 0 eng d
020 $a 9783030767051$q(electronic bk.)
020 $a 9783030767044$q(paper)
024 7 $a 10.1007/978-3-030-76705-1 $2 doi
035 $a 978-3-030-76705-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA613.62 $b .S33 2021
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
072 7 $a PBMW $2 thema
082 0 4 $a 514.72 $2 23
090 $a QA613.62 $b .S433 2021
100 1 $a Scardua, Bruno. $3 912215
245 1 0 $a Holomorphic foliations with singularities $h [electronic resource] : $b key concepts and modern results / $c by Bruno Scardua.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xi, 167 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Latin american mathematics series
505 0 $a Preface -- The Classical Notions of Foliations -- Some Results from Several Complex Variables -- Holomorphic Foliations: Nonsingular Case -- Holomorphic Foliations with Singularities -- Holomorphic Foliations Given by Closed 1-Forms -- Reduction of Singularities -- Holomorphic First Integrals -- Dynamics of a Local Diffeomorphism -- Foliations on Complex Projective Spaces -- Foliations with Algebraic Limit Sets -- Some Modern Questions -- Miscellaneous exercises and some open questions.
520 $a This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H. Cartan, K. Oka, T. Nishino, and M. Suzuki. The text starts with a gentle presentation of the classical notion of foliations, advancing to holomorphic foliations and then holomorphic foliations with singularities. The theory behind reduction of singularities is described in detail, as well the cases for dynamics of a local diffeomorphism and foliations on complex projective spaces. A final chapter brings recent questions in the field, as holomorphic flows on Stein spaces and transversely homogeneous holomorphic foliations, along with a list of open questions for further study and research. Selected exercises at the end of each chapter help the reader to grasp the theory. Graduate students in Mathematics with a special interest in the theory of foliations will especially benefit from this book, which can be used as supplementary reading in Singularity Theory courses, and as a resource for independent study on this vibrant field of research.
650 0 $a Foliations (Mathematics) $3 340148
650 0 $a Domains of holomorphy. $3 663517
650 1 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
650 2 4 $a Algebraic Topology. $3 273784
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Latin american mathematics series. $3 912216
856 4 0 $u https://doi.org/10.1007/978-3-030-76705-1
950 $a Mathematics and Statistics (SpringerNature-11649)