# Vector bundles on proper toric 3-folds and certain other schemes

@article{Perling2014VectorBO, title={Vector bundles on proper toric 3-folds and certain other schemes}, author={Markus Perling and S. Schr{\"o}er}, journal={Transactions of the American Mathematical Society}, year={2014}, volume={369}, pages={4787-4815} }

We show that a proper algebraic n-dimensional scheme Y admits nontrivial vector bundles of rank n, even if Y is non-projective, provided that there is a modication containing a projective Cartier divisor that intersects the exceptional locus in only nitely many points. Moreover, there are such vector bundles with arbitrarily large top Chern number. Applying this to toric varieties, we infer that every proper toric threefold admits such vector bundles of rank three. Furthermore, we describe a… CONTINUE READING

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