Contact Moishezon threefolds with second Betti number one

被引：2

作者：

Buczynski, Jarosaw ^{[1
]}

Peternell, Thomas ^{[2
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

[2] Univ Bayreuth, Math Inst, D-95440 Bayreuth, Germany

来源：

ARCHIV DER MATHEMATIK | 2012年 / 98卷 / 05期

关键词：

Complex contact manifold; Moishezon space; Threefold; Betti number; KAHLER-MANIFOLDS; FANO MANIFOLDS; LINES;

D O I：

10.1007/s00013-012-0388-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the only contact Moishezon threefold having second Betti number equal to one is the projective space.

引用

页码：427 / 431

页数：5

共 50 条

[21] Even and odd instanton bundles on Fano threefolds of Picard number one
Daniele Faenzi
Manuscripta Mathematica, 2014, 144 : 199 - 239
[22] Even and odd instanton bundles on Fano threefolds of Picard number one
Faenzi, Daniele
MANUSCRIPTA MATHEMATICA, 2014, 144 (1-2) : 199 - 239
[23] Fiberwise stable bundles on elliptic threefolds with relative Picard number one
Caldararu, A
COMPTES RENDUS MATHEMATIQUE, 2002, 334 (06) : 469 - 472
[24] Positive Quaternion Kahler Manifolds with fourth Betti number equal to one
Amann, Manuel
TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (02) : 183 - 189
[25] A bound on the second Betti number of hyperkähler manifolds of complex dimension six
Justin Sawon
European Journal of Mathematics, 2022, 8 : 1196 - 1212
[26] Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation
Mehta, Ranjana
Saha, Joydip
Sengupta, Indranath
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (02): : 649 - 662
[27] Stability and the first Betti number
Savo, Alessandro
NOTE DI MATEMATICA, 2008, 28 : 377 - 382
[28] Compact 3-Sasakian 7-manifolds with arbitrary second Betti number
Boyer, CP
Galicki, K
Mann, BM
Rees, EG
INVENTIONES MATHEMATICAE, 1998, 131 (02) : 321 - 344
[29] GENUS REGIONAL NUMBER AND BETTI NUMBER OF A GRAPH
DUKE, RA
CANADIAN JOURNAL OF MATHEMATICS, 1966, 18 (04): : 817 - &
[30] THE SECOND BETTI NUMBER OF DOUBLY WEIGHTED HOMOLOGY GROUPS OF A CERTAIN PRE LIE SUPERALGEBRA
Mikami, Kentaro
Mizutani, Tadayoshi
TOHOKU MATHEMATICAL JOURNAL, 2022, 74 (02) : 301 - 311

← 1 2 3 4 5 →