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arXiv · 1305.6399

Pr\"ufer sheaves and generic sheaves over the weighted projective lines and elliptic curves

Jianmin Chen·Jinjing Chen·Yanan Lin
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Abstract

In the present paper, we introduce the concepts of Pr\"{u}fer sheaves and adic sheaves over a weighted projective line of genus one or an elliptic curve, show that Pr\"{u}fer sheaves and adic sheaves can classify the category of coherent sheaves. Moreover, we describe the relationship between Pr\"{u}fer sheaves and generic sheaves, and provide two methods to construct generic sheaves by using coherent sheaves and Pr\"{u}fer sheaves.

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BibTeXRIS

Jianmin Chen, Jinjing Chen, Yanan Lin. 2013-05-28. Pr\"ufer sheaves and generic sheaves over the weighted projective lines and elliptic curves. https://arxiv.org/abs/1305.6399

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