Slope Inequalities for fibrations of non-maximal Albanese dimension
Miguel A. Barja
TL;DR
This paper establishes slope inequalities for fibred irregular varieties with non-maximal Albanese dimension, comparing different inequalities and exploring the influence of the Albanese map's geometry.
Contribution
It introduces new slope inequalities for non-maximal Albanese dimension fibrations and compares them with Clifford-Severi inequalities, considering the Albanese map's geometry.
Findings
Established slope inequalities for non-maximal Albanese dimension fibrations.
Provided a comparison theorem between Clifford-Severi and Slope inequalities.
Analyzed the impact of the Albanese map's geometry on slope inequalities.
Abstract
We study and obtain Slope inequalities for fibred irregular varieties of non-maximal Albanese dimension. We give a comparison theorem between Clifford-Severi and Slope inequalities for this type of fibrations. We also obtain a set of Slope inequalities considering the geometry of the Albanese map and the associated eventual maps.
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