Maximally irregularly fibred surfaces of general type
نویسنده
چکیده
We generalise a method of Xiao Gang to construct ’prototypes’ of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g = 3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g = 2 and g = 3. Mathematics Subject Classification 2000. 14J10, 14J29, 14D06
منابع مشابه
O ct 2 00 3 Maximally irregularly fibred surfaces of general type
We generalise a method of Xiao Gang to construct ’prototypes’ of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g = 3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g = 2 and g = 3. Mathematics Subj...
متن کاملct 2 00 4 Maximally irregularly fibred surfaces of general type
We generalise a method of Xiao Gang to construct ’prototypes’ of fibred surfaces with maximal irregularity without being a product. This enables us, in the case of fibre genus g = 3 to describe the possible singular fibres and to calculate the invariants of these surfaces. We also prove structure theorems on the moduli space for fibred surfaces with fibre genus g = 2 and g = 3. Mathematics Subj...
متن کاملThe Classification of Isotrivial Fibred
An isotrivial 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 isotrivial 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 = ...
متن کاملIsotrivially fibred isles in the moduli space of surfaces of general type
We complement Catanese’ s results on isotrivially fibred surfaces by completely describing the components containing an isotrivial surface with monodromy group Z/2Z. We also give an example for deformation equivalent isotrivial surfaces with different monodromy group. Mathematics Subject Classification 2000. 14J10, 14D06
متن کاملFlowlines transverse to fibred knots and links
Let K be a knot or link in S3 which is fibred — the complement fibres over S1 with fibres spanning surfaces. We focus on those fibred knots and links which have the following property: every vector field transverse to the fibres possesses closed flow lines of all possible knot and link types in S3 . Our main result is that a large class of fibred knots and links has this property, including all...
متن کامل