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Automorphism groups of P1‐bundles over geometrically ruled surfaces | Synapse

June 11, 2026Open Access

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Automorphism groups of P1‐bundles over geometrically ruled surfaces

PFPascal FongLeibniz University Hannover

Puntos clave

This research aims to classify automorphism groups of pairs involving P1-bundles over specific surfaces.
Examined pairs with P1-bundles over non-rational geometrically ruled surfaces.
Classified groups relating to the maximal inclusion in the automorphism group.
Characterized the automorphism groups for maximal pairs in the considered bundles.
Results are valid for any algebraically closed field of characteristic zero.

Resumen

Abstract We classify the pairs , where is a ‐bundle over a non‐rational geometrically ruled surface and is relatively maximal , that is, maximal with respect to the inclusion in the group . The results hold over any algebraically closed field of characteristic zero.

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Cite This Study

Pascal Fong (Mon,) studied this question.

synapsesocial.com/papers/6a2a50b680c8f91e7f39d1fa https://doi.org/https://doi.org/10.1112/jlms.70593

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