本项目旨在研究复数域上几何亏格为零的一般型代数曲面。主要研究内容包括以下几个方面。一、研究此类曲面的二重典范映射、自同构(特别是对合），目标在于刻画此类曲面的结构与对称性，给出精细的分类，从而构造此类曲面新的例子。二、在上述基础上，研究此类曲面已有例子与新构造的例子的模空间性质：维数、不可约性、连通性、正规性与光滑性。三、刻画某些几何亏格为零的代数曲面的万有覆叠空间并且计算(代数)基本群。四、刻画某些已有例子与新例子的导出范畴。 五、研究某些例子的算术性质。

This research project is aimed to study the complex algebraic surfaces of general type with geometric genus zero. It contains several topics. This first topic is to study the bicanonical maps, involutions and the automorphism groups of such surfaces and is aimed to describe the structures and symmetry of such surfaces, to give a classification and to construct new examples. The second topic is to study the properties of the moduli spaces of known examples and new examples of such surfaces: dimension, irreducibility, connectedness, normality and smoothness. The third one.is to characterize the universal covering spaces and calculate the (algebraic) fundamental groups of certain surfaces with geometric genus zero. The fourth topic is to characterize the derived categories of certain known examples and new examples. The last one is to study the arithmetic properties of certain examples.