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arXiv · 2012.06889

Higher Dimensional Slope Inequalities for Irregular fibrations

Miguel A. Barja
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Abstract

We prove the equivalence between Clifford-Severi inequalities for good classes of varieties of maximal Albanese dimension and Slope Inequalities for fibrations of such varieties over curves. This provides a big set of new Slope Inequalities and characterizes the limit cases. It also gives a machinery to automatically obtain other higher dimensional Slope and Clifford-Severi inequalities from inequalities in low dimension. For this, we construct a continuous version of Xiao's method for irregular fibrations.

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Miguel A. Barja. 2020-12-12. Higher Dimensional Slope Inequalities for Irregular fibrations. https://arxiv.org/abs/2012.06889

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