Mathematics – Algebraic Geometry
Scientific paper
2008-11-20
Mathematics
Algebraic Geometry
11 pages
Scientific paper
We give lower bounds for the slope of higher dimensional fibrations over curves under conditions of GIT-semistability of the fibres, using a generalization of a method of Cornalba and Harris. With the same method we establish a sharp lower bound for the slope of trigonal fibrations of even genus and general Maroni invariant; in particular this result proves a conjecture due to Harris and Stankova-Frenkel.
Barja Miguel A.
Stoppino Lidia
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