Isotrivially fibred surfaces and their numerical invariants

Abstract

We give a survey of our previous work on relatively minimal isotrivial fibrations $\alpha :X\to C$, where $X$ is a smooth, projective surface and $C$ is a curve. In particular, we consider two inequalities involving the numerical invariants $K_X^2$ and $\chi ({\mathcal{O}}_X)$ and we illustrate them by means of several examples and counterexamples.

To appear in the Proceedings of the Conference "Beauville Surfaces and Groups", Newcastle University (UK), 7-9th June 2012

References in corpus (4)

• Standard isotrivial fibrations with p_g=q=1
• Some new surfaces with $p_g=q=0$
• On surfaces of general type with p_g=q=1 isogenous to a product of curves
• Numerical properties of isotrivial fibrations

Cited by in corpus (1)

• Surface fibrations with large equivariant automorphism group