SYMPLECTIC GENERIC COMPLEX STRUCTURES ON FOUR-MANIFOLDS WITH b+=1

被引：2

作者：

Cascini, Paolo ^{[1
]}

Panov, Dmitri ^{[2
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

JOURNAL OF SYMPLECTIC GEOMETRY | 2012年 / 10卷 / 04期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

SIMPLY CONNECTED SURFACE; P(G)=0; CONE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study symplectic structures on Kahler surfaces with p(g) = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any Kahler metric.

引用

页码：493 / 502

页数：10

共 50 条

[1] On normalized Ricci flow and smooth structures on four-manifolds with b+ = 1
Masashi Ishida
Rareş Răsdeaconu
Ioana Şuvaina
Archiv der Mathematik, 2009, 92 : 355 - 365
[2] On normalized Ricci flow and smooth structures on four-manifolds with b+=1
Ishida, Masashi
Rasdeaconu, Rares
Suvaina, Ioana
ARCHIV DER MATHEMATIK, 2009, 92 (04) : 355 - 365
[3] COMPLEX STRUCTURES ON FOUR-MANIFOLDS WITH SYMPLECTIC TWO-TORUS ACTIONS
Duistermaat, J. J.
Pelayo, A.
INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 22 (03) : 449 - 463
[4] Complex structures on Riemannian four-manifolds
Massimiliano Pontecorvo
Mathematische Annalen, 1997, 309 : 159 - 177
[5] Complex structures on Riemannian four-manifolds
Pontecorvo, M
MATHEMATISCHE ANNALEN, 1997, 309 (01) : 159 - 177
[6] Systems of symplectic forms on four-manifolds
Chiossi, Simon G.
Nagy, Paul-Andi
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2013, 12 (03) : 717 - 734
[7] Circle actions on symplectic four-manifolds
Holm, Tara S.
Kessler, Liat
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2019, 27 (02) : 421 - 464
[8] Symplectic four-manifolds and projective surfaces
Bogomolov, F
Katzarkov, L
TOPOLOGY AND ITS APPLICATIONS, 1998, 88 (1-2) : 79 - 109
[9] Symplectic four-manifolds and conformal blocks
Smith, I
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2005, 71 : 503 - 515
[10] Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds
Draghici, Tedi
Li, Tian-Jun
Zhang, Weiyi
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (01) : 1 - 17

← 1 2 3 4 5 →