國立高雄大學圖資館 |

Language: English

Back

Non-Kähler complex surfaces and strongly pseudoconcave surfaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Non-Kähler complex surfaces and strongly pseudoconcave surfacesby Naohiko Kasuya.
Author:	Kasuya, Naohiko.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	x, 121 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Kählerian structures.
Online resource:	https://doi.org/10.1007/978-981-96-3002-8
ISBN:	9789819630028$q(electronic bk.)

Non-Kähler complex surfaces and strongly pseudoconcave surfaces
Kasuya, Naohiko.

Non-Kähler complex surfaces and strongly pseudoconcave surfaces[electronic resource] /by Naohiko Kasuya. - Singapore :Springer Nature Singapore :2025. - x, 121 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

Chapter 1.Preliminaries -- Chapter 2. Compact Complex Surfaces -- Chapter 3. Elliptic Surfaces and Lefschetz Fibrations -- Chapter 4. Non-Kähler Complex Structures on R2 -- Chapter 5. Strongly Pseudoconvex Manifolds -- Chapter 6. Contact Structures -- Chapter 7. Strongly Pseudoconcave Surfaces and Their Boundaries.

The main themes of this book are non-Kähler complex surfaces and strongly pseudoconcave complex surfaces. Though there are several notable examples of compact non-Kähler surfaces, including Hopf surfaces, Kodaira surfaces, and Inoue surfaces, these subjects have been regarded as secondary to Kähler manifolds and strongly pseudoconvex manifolds. Recently, however, the existence of uncountably many non-Kähler complex structures on the 4-dimensional Euclidean space has been shown by Di Scala, Kasuya, and Zuddas through their construction. Furthermore, Kasuya and Zuddas' handlebody construction reveals that strongly pseudoconcave surfaces have flexibility with respect to both four-dimensional topology and boundary contact structures. These constructions are based on the knowledge of differential topology and contact geometry, and provide examples of fruitful applications of these areas to complex geometry. Thus, for (especially non-compact) non-Kähler complex surfaces and strongly pseudoconcave complex surfaces, it is not an exaggeration to say that the research is still in its infancy, with numerous areas yet to be explored and expected to develop in the future.

ISBN: 9789819630028$q(electronic bk.)

Standard No.: 10.1007/978-981-96-3002-8doiSubjects--Topical Terms:

993194
Kählerian structures.

LC Class. No.: QA649

Dewey Class. No.: 515.946

Non-Kähler complex surfaces and strongly pseudoconcave surfaces
LDR:02548nmm a2200337 a 4500 001 680463
003 DE-He213
005 20250314115311.0
006 m d
007 cr nn 008maaau
008 251110s2025 si s 0 eng d
020 $a 9789819630028$q(electronic bk.)
020 $a 9789819630011$q(paper)
024 7 $a 10.1007/978-981-96-3002-8 $2 doi
035 $a 978-981-96-3002-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA649
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.946 $2 23
090 $a QA649 $b .K19 2025
100 1 $a Kasuya, Naohiko. $3 993193
245 1 0 $a Non-Kähler complex surfaces and strongly pseudoconcave surfaces $h [electronic resource] / $c by Naohiko Kasuya.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a x, 121 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8201
505 0 $a Chapter 1.Preliminaries -- Chapter 2. Compact Complex Surfaces -- Chapter 3. Elliptic Surfaces and Lefschetz Fibrations -- Chapter 4. Non-Kähler Complex Structures on R2 -- Chapter 5. Strongly Pseudoconvex Manifolds -- Chapter 6. Contact Structures -- Chapter 7. Strongly Pseudoconcave Surfaces and Their Boundaries.
520 $a The main themes of this book are non-Kähler complex surfaces and strongly pseudoconcave complex surfaces. Though there are several notable examples of compact non-Kähler surfaces, including Hopf surfaces, Kodaira surfaces, and Inoue surfaces, these subjects have been regarded as secondary to Kähler manifolds and strongly pseudoconvex manifolds. Recently, however, the existence of uncountably many non-Kähler complex structures on the 4-dimensional Euclidean space has been shown by Di Scala, Kasuya, and Zuddas through their construction. Furthermore, Kasuya and Zuddas' handlebody construction reveals that strongly pseudoconcave surfaces have flexibility with respect to both four-dimensional topology and boundary contact structures. These constructions are based on the knowledge of differential topology and contact geometry, and provide examples of fruitful applications of these areas to complex geometry. Thus, for (especially non-compact) non-Kähler complex surfaces and strongly pseudoconcave complex surfaces, it is not an exaggeration to say that the research is still in its infancy, with numerous areas yet to be explored and expected to develop in the future.
650 0 $a Kählerian structures. $3 993194
650 0 $a Pseudoconvex domains. $3 993195
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Topology. $3 185965
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics. $3 558795
856 4 0 $u https://doi.org/10.1007/978-981-96-3002-8
950 $a Mathematics and Statistics (SpringerNature-11649)