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Remarks on the existence of Cartier divisors

Stefan Schroeer
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Abstract

Given an invertible sheaf, does it come from a Cartier divisor? This might fail in presence of embedded components. I give some examples and characterize those invertible sheaves that allow a Cartier divisor.

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Stefan Schroeer. 2000-01-19. Remarks on the existence of Cartier divisors. https://arxiv.org/abs/math/0001104

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