p_g=q=2的等距曲面的分类
The classification of isotrivially fibred surfaces with p_g=q=2
摘要：
一个等距曲面是一个光滑的投影曲面，它被赋予一个到曲线上的态射，使得所有的光滑纤维彼此同构。本文的第一个目标是用$p_g=q=2$对等距曲面进行分类，它完善和推广了Zucconi的一个结果。作为一个重要的副产品，我们提供了新的例子与$p_g=q=2$和$K^2=4,5$和第一个例子与$K^2=6$一般类型的极小曲面。
英文摘要：
An isotrivially fibred surface is a smooth projective surface endowed with a morphism onto a curve such that all the smooth fibres are isomorphic to each other. The first goal of this paper is to classify the isotrivially fibred surfaces with $p_g=q=2$ completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with $p_g=q=2$ and $K^2=4,5$ and a first example with $K^2=6$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
