Functors of the category of abelian sheaves on regular affine scheme |
| |
Authors: | Zhou Caijun |
| |
Institution: | (1) Department of Mathematics, Shanghai Normal University, 200234 Shanghai, China |
| |
Abstract: | In this short paper, we prove that ifR is a regular local ring of unequal characteristic, then there exists an additive covariant functorG from the category of abelian sheaves on SpecR to the category of abelian groups such that id
R
(G(R))>dimG(R). This result shows that the answer to the question 3.8 (ii) in 3] may be negative. |
| |
Keywords: | Affine scheme Abelian sheaf Additive covariant functor |
本文献已被 SpringerLink 等数据库收录! |