Abstract
In this paper we provide sufficient conditions for maps of vector bundles on smooth projective varieties to be uniquely determined by their degeneracy schemes. We then specialize to holomorphic distributions and foliations. In particular, we provide sufficient conditions for foliations of arbitrary rank on \(\mathbb P ^n\) to be uniquely determined by their singular schemes.
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Acknowledgments
The first named author was partially supported by CNPq and Faperj Research Fellowships. We would like to thank Fernando Cukierman and the referee for useful comments on earlier versions of this paper.
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Araujo, C., Corrêa, M. On degeneracy schemes of maps of vector bundles and applications to holomorphic foliations. Math. Z. 276, 505–515 (2014). https://doi.org/10.1007/s00209-013-1210-5
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DOI: https://doi.org/10.1007/s00209-013-1210-5