Slope inequalities for fibred surfaces via GIT

Slope inequalities for fibred surfaces via GIT

In this paper we present a generalisation of a theorem due to Cornalba and Harris, which is an application of Geometric Invariant Theory to the study of invariants of fibrations. In particular, our generalisation makes it possible to treat the problem of bounding the invariants of general fibred sur...

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Veröffentlicht in:Osaka journal of mathematics 2008-12, Vol.45 (no. 4), p.1027-1041
1. Verfasser: Stoppino, Lidia
Format: Artikel
Sprache:eng
Schlagworte:
14D06
14H10
14J29
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Zusammenfassung:In this paper we present a generalisation of a theorem due to Cornalba and Harris, which is an application of Geometric Invariant Theory to the study of invariants of fibrations. In particular, our generalisation makes it possible to treat the problem of bounding the invariants of general fibred surfaces. As a first application, we give a new proof of the slope inequality and of a bound for the invariants associated to double cover fibrations.