Higher Dimensional Slope Inequalities for Irregular fibrations
Algebraic Geometry
2020-12-29 v2
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.
Keywords
Cite
@article{arxiv.2012.06889,
title = {Higher Dimensional Slope Inequalities for Irregular fibrations},
author = {Miguel A. Barja},
journal= {arXiv preprint arXiv:2012.06889},
year = {2020}
}
Comments
19 pages Minor revisions and corrections. References added