A construction of the rational function sheaves on elliptic curves

Chen, Jianmin; Yi, Lin

doi:10.1007/s11401-008-0036-7

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Cited by 2 publications

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“…Notice that if q = ∞, then G ∞ = K and a coherent sheaf F satisfies the conditions in Corollary 6.8 must be a line bundle. Corollary 6.8 in fact popularizes the method of construction for K over elliptic curves in [8].…”

Section: And Let W ′mentioning

confidence: 99%

Prüfer sheaves and generic sheaves over the weighted projective lines and elliptic curves

Chen

Lin

2016

Acta. Math. Sin.-English Ser.

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

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Section: And Let W ′mentioning

confidence: 99%