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Ranks of maps of vector bundles

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Abstract

We generalize to vector bundles the techniques introduced for line bundles in Liu (TAMS 374:367–405, 2021). We then use this method to prove the injectivity of the Petri map for vector bundles and the surjectivity of a map related to deformation theory of Poincaré sheaves.

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Acknowledgements

I would like to thank Peter Newstead for suggesting the problem dealt with in Sect. 3 and to a careful referee for suggesting clarifications.

Funding

The author received partial support from NSF (No. 104301-0000).

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Authors and Affiliations

  1. Department of Mathematics, Tufts University, 177 College Ave, Medford, MA, 02155, USA

    Montserrat Teixidor i Bigas

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  1. Montserrat Teixidor i Bigas
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Correspondence to Montserrat Teixidor i Bigas.

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Dedicated to Peter Newstead for his extraordinary mentorship role..

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Teixidor i Bigas, M. Ranks of maps of vector bundles. Rev Mat Complut (2023). https://doi.org/10.1007/s13163-023-00477-y

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