Isotrivially fibred isles in the moduli space of surfaces of general type

The classification of isotrivially fibred surfaces with p_g=q=2

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 $K^2=6$.

等平凡纤维化曲面及其数值不变量

Isotrivially fibred surfaces and their numerical invariants

本文综述了光滑射影曲面到曲线的相对极小等平凡纤维化相关研究，重点分析了涉及两个数值不变量的不等式，并辅以多组例子和反例进行阐释。