P^1-Speck-双模的一个结构定理
A structure theorem for P^1-Spec k-bimodules
摘要：
设k是一个代数闭域。利用概型上的Eilenberg-Watts定理，我们确定了从P^1_k上的拟凝聚层范畴到k上的向量空间范畴的k-线性右正合直极限和保凝聚函子的结构.因此，我们刻画了那些函子是积分变换。
英文摘要：
Let k be an algebraically closed field. Using the Eilenberg-Watts theorem over schemes, we determine the structure of k-linear right exact direct limit and coherence preserving functors from the category of quasi-coherent sheaves on P^1_k to the category of vector spaces over k. As a consequence, we characterize those functors which are integral transforms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
