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Uniform Steiner bundles Marchesi, Simone Miró-Roig, Rosa M. (Rosa Maria) Geometria algebraica Superfícies algebraiques Homologia Algebraic geometry Algebraic surfaces Homology In this work we study $k$-type uniform Steiner bundles, being $k$ the lowest degree of the splitting. We prove sharp upper and lower bounds for the rank in the case $k=1$ and moreover we give families of examples for every allowed possible rank and explain which relation exists between the families. After dealing with the case $k$ in general, we conjecture that every $k$-type uniform Steiner bundle is obtained through the proposed construction technique. 2022-11-04T10:54:20Z 2022-11-04T10:54:20Z 2021-12-08 2022-11-04T10:54:21Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 0373-0956 https://hdl.handle.net/2445/190457 699568 eng Reproducció del document publicat a: https://doi.org/10.5802/aif.3403 Annales de l'Institut Fourier, 2021, vol. 71, num. 2, p. 447-472 https://doi.org/10.5802/aif.3403 (c) Association des Annales de l'Institut Fourier, 2021 info:eu-repo/semantics/openAccess 26 p. application/pdf Association des Annales de l'Institut Fourier Articles publicats en revistes (Matemàtiques i Informàtica)