Truncated modules and linear presentations of vector bundles

Abstract : We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded Artinian modules with pure resolutions. Our method allows one to produce several new examples and provides an alternative point of view on the existing ones.
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Contributor : Imb - Université de Bourgogne <>
Submitted on : Friday, February 2, 2018 - 1:29:36 PM
Last modification on : Tuesday, May 14, 2019 - 4:12:01 PM

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Ada Boralevi, Daniele Faenzi, Paolo Lella. Truncated modules and linear presentations of vector bundles. International Mathematics Research Notices, Oxford University Press (OUP), 2018, pp.5347-5377. ⟨10.1093/imrn/rnx032⟩. ⟨hal-01699461⟩



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