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 pg = q = 2 completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with pg = q = 2 and K2 = 4, 5 and a first example with K2 = 6.
The classification of isotrivially fibred surfaces with p (g) = q=2 / M. Penegini. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 62:3(2011), pp. 239-274. [10.1007/s13348-011-0043-y]
The classification of isotrivially fibred surfaces with p (g) = q=2
M. Penegini
2011
Abstract
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 pg = q = 2 completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with pg = q = 2 and K2 = 4, 5 and a first example with K2 = 6.
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