Complex versus differentiable classification of algebraic surfaces
Complex versus differentiable classification of algebraic surfaces
复制标题
代数曲面的复杂分类与可微分分类
DOI：
10.1016/0166-8641(89)90050-3
复制
发表时间：
1989
影响因子：
0.6
通讯作者：
J. Morgan
中科院分区：
文献类型：
--
作者：
R. Friedman;J. Morgan
本文给出了关于代数曲面的同态分类的一些结果。计算了单连通椭圆曲面的唐纳森不变量系数。这个计算意味着一个有限性的结果，所有复杂的结构的模空间上的一个固定的代数曲面作为代表，以及限制可能的自同构的某些代数曲面的同构类。
We announce some results concerning the diffeomorphism classification of algebraic surfaces. A coefficient of Donaldson's invariants for a simply connected elliptic surface is calculated. This calculation implies a finiteness result for the moduli space of all complex structures on a fixed diffeomorphism class which has an algebraic surface as representative, as well as restrictions on the possible self-diffeomorphisms of certain algebraic surfaces.