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On the slope stability of the cotangent bundles of Weierstrass fibrations

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We provide a full classification of the slope stability of the cotangent bundles of relatively minimal smooth Weierstrass fibrations. The classification only depends on the topological Euler characteristic of the surface and the genus of the base curve.

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Acknowledgements

I would like to express my gratitude toward my supervisor Hendrik Süß, whose guidance and advice have been invaluable over the course of my doctoral studies. I am also grateful for the comments given by the anonymous reviewer, which significantly improved this paper.

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  1. School of Mathematics, The University of Manchester, Alan Turing Building, Oxford Road, Manchester, M13 9PL, UK

    Valentin Boboc

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  1. Valentin Boboc
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Correspondence to Valentin Boboc.

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Boboc, V. On the slope stability of the cotangent bundles of Weierstrass fibrations. Arch. Math. 122, 453–461 (2024). https://doi.org/10.1007/s00013-023-01958-8

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  • DOI: https://doi.org/10.1007/s00013-023-01958-8

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