Decomposition of the Tschirnhausen module for coverings on decomposable P¹-bundles

Key Points

• The decomposition provides a clearer understanding of the Tschirnhausen module for certain coverings, enhancing geometric analysis.
• Geometric structures analyzed include decomposable P1-bundles, revealing complex relationships in algebraic geometry.
• The approach employs advanced methods to explore coverings, linking them to broader geometric principles and theories.
• This work may enable further advancements in the geometry of P1-bundles, calling for additional exploration of these structures.