Sheaves on Subanalytic Sites
Sheaves on Subanalytic Sites
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亚分析站点上的滑轮
DOI：
10.4171/rsmup/120-11
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
L. Prelli
中科院分区：
文献类型：
--
作者：
L. Prelli
在Asterisque 271中，作者引入了ind-sheaf的概念，并在这个框架中定义了六个Grothendieck运算。他们定义了次解析层，并通过将次解析层纳入ind-层的范畴，获得了Grothendieck运算的六种形式。本文的目的是在次解析格点的框架下直接构造六个Grothendieck运算，避免了ind-sheaves的重理论。作为应用，我们展示了如何恢复温带和惠特尼全纯函数的次解析层。
In Asterisque 271 the authors introduced the notion of ind-sheaf, and defined the six Grothendieck operations in this framework. They defined subanalytic sheaves and they obtained the formalism of the six Grothendieck operations by including subanalytic sheaves into the category of ind-sheaves. The aim of this paper is to give a direct construction of the six Grothendieck operations in the framework of subanalytic sites avoiding the heavy theory of ind-sheaves. As an application we show how to recover the subanalytic sheaves of temperate and Whitney holomorphic functions.