Uniform Steiner bundles

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....

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Detalhes bibliográficos
Autores: Marchesi, Simone, Miró-Roig, Rosa M. (Rosa Maria)
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/190457
Acesso em linha:https://hdl.handle.net/2445/190457
Access Level:acceso abierto
Palavra-chave:Geometria algebraica
Superfícies algebraiques
Homologia
Algebraic geometry
Algebraic surfaces
Homology
Descrição
Resumo: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.