The geometry on Hyper-Kähler manifolds of type A∞

Kota Hattori

doi:10.1007/978-4-431-55215-4_27

The geometry on Hyper-Kähler manifolds of type A_∞

Kota Hattori

数理科学科

研究成果: Conference contribution

抄録

Hyper-Kähler manifolds of type A_∞ are noncompact complete Ricci-flat Kähler manifolds of complex dimension 2, constructed by Anderson, Kronheimer, LeBrun (Commun. Math. Phys., 125, 637–642, 1989) and Goto (Geom. Funct. Anal., 4(4), 424–454, 1994). We review the asymptotic behavior, the holomorphic symplectic structures and period maps on these manifolds.

本文言語	English
ホスト出版物のタイトル	Real and Complex Submanifolds
編集者	Young Jin Suh, Yoshihiro Ohnita, Hyunjin Lee, Jürgen Berndt, Byung Hak Kim
出版社	Springer New York LLC
ページ	309-317
ページ数	9
ISBN（電子版）	9784431552147
DOI	https://doi.org/10.1007/978-4-431-55215-4_27
出版ステータス	Published - 2014 1月 1
イベント	Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry - Daejeon, Korea, Republic of 継続期間: 2014 8月 10 → 2014 8月 12

出版物シリーズ

名前	Springer Proceedings in Mathematics and Statistics
巻	106
ISSN（印刷版）	2194-1009
ISSN（電子版）	2194-1017

Other

Other	Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry
国/地域	Korea, Republic of
City	Daejeon
Period	14/8/10 → 14/8/12

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.1007/978-4-431-55215-4_27

他のファイルとリンク

引用スタイル

Hattori, K 2014, The geometry on Hyper-Kähler manifolds of type A_∞ in YJ Suh, Y Ohnita, H Lee, J Berndt & BH Kim (eds), Real and Complex Submanifolds. Springer Proceedings in Mathematics and Statistics, vol. 106, Springer New York LLC, pp. 309-317, Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry, Daejeon, Korea, Republic of, 14/8/10. https://doi.org/10.1007/978-4-431-55215-4_27

@inproceedings{c52f587731c64b968f39df21555f595a,

title = "The geometry on Hyper-K{\"a}hler manifolds of type A∞ ",

abstract = "Hyper-K{\"a}hler manifolds of type A∞ are noncompact complete Ricci-flat K{\"a}hler manifolds of complex dimension 2, constructed by Anderson, Kronheimer, LeBrun (Commun. Math. Phys., 125, 637–642, 1989) and Goto (Geom. Funct. Anal., 4(4), 424–454, 1994). We review the asymptotic behavior, the holomorphic symplectic structures and period maps on these manifolds.",

author = "Kota Hattori",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/978-4-431-55215-4_27",

language = "English",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "309--317",

editor = "Suh, {Young Jin} and Yoshihiro Ohnita and Hyunjin Lee and J{\"u}rgen Berndt and Kim, {Byung Hak}",

booktitle = "Real and Complex Submanifolds",

note = "Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry ; Conference date: 10-08-2014 Through 12-08-2014",

}

TY - GEN

T1 - The geometry on Hyper-Kähler manifolds of type A∞

AU - Hattori, Kota

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Hyper-Kähler manifolds of type A∞ are noncompact complete Ricci-flat Kähler manifolds of complex dimension 2, constructed by Anderson, Kronheimer, LeBrun (Commun. Math. Phys., 125, 637–642, 1989) and Goto (Geom. Funct. Anal., 4(4), 424–454, 1994). We review the asymptotic behavior, the holomorphic symplectic structures and period maps on these manifolds.

AB - Hyper-Kähler manifolds of type A∞ are noncompact complete Ricci-flat Kähler manifolds of complex dimension 2, constructed by Anderson, Kronheimer, LeBrun (Commun. Math. Phys., 125, 637–642, 1989) and Goto (Geom. Funct. Anal., 4(4), 424–454, 1994). We review the asymptotic behavior, the holomorphic symplectic structures and period maps on these manifolds.

UR - http://www.scopus.com/inward/record.url?scp=84927628813&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927628813&partnerID=8YFLogxK

U2 - 10.1007/978-4-431-55215-4_27

DO - 10.1007/978-4-431-55215-4_27

M3 - Conference contribution

AN - SCOPUS:84927628813

T3 - Springer Proceedings in Mathematics and Statistics

SP - 309

EP - 317

BT - Real and Complex Submanifolds

A2 - Suh, Young Jin

A2 - Ohnita, Yoshihiro

A2 - Lee, Hyunjin

A2 - Berndt, Jürgen

A2 - Kim, Byung Hak

PB - Springer New York LLC

T2 - Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry

Y2 - 10 August 2014 through 12 August 2014

ER -