请输入您要查询的百科知识:

 

词条 Kato surface
释义

  1. References

In mathematics, a Kato surface is a compact complex surface with positive first Betti number that has a global spherical shell. {{harvtxt|Kato|1978}} showed that Kato surfaces have small analytic deformations that are the blowups of primary Hopf surfaces at a finite number of points. In particular they have an infinite cyclic fundamental group, and are never Kähler manifolds. Examples of Kato surfaces include Inoue-Hirzebruch surfaces and Enoki surfaces. The global spherical shell conjecture claims that all class VII surfaces with positive second Betti number are Kato surfaces.

References

  • {{Citation | last1=Dloussky | first1=Georges | last2=Oeljeklaus | first2=Karl | last3=Toma | first3=Matei | title=Class VII0 surfaces with b2 curves | url=http://projecteuclid.org/euclid.tmj/1113246942 | doi=10.2748/tmj/1113246942 |mr=1979500 | year=2003 | journal=The Tohoku Mathematical Journal. Second Series | issn=0040-8735 | volume=55 | issue=2 | pages=283–309| arxiv=math/0201010 }}
  • {{Citation | last1=Kato | first1=Masahide | editor1-last=Nagata | editor1-first=Masayoshi | editor1-link=Masayoshi Nagata | title=Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977) | publisher=Kinokuniya Book Store | location=Tokyo | series=Taniguchi symposium |mr=578853 | year=1978 | chapter=Compact complex manifolds containing "global" spherical shells. I | pages=45–84}}

1 : Complex surfaces

随便看

 

开放百科全书收录14589846条英语、德语、日语等多语种百科知识,基本涵盖了大多数领域的百科知识,是一部内容自由、开放的电子版国际百科全书。

 

Copyright © 2023 OENC.NET All Rights Reserved
京ICP备2021023879号 更新时间:2024/11/14 10:34:50