Formal schemes and formal groups
Formal schemes and formal groups
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正式方案和正式组
DOI：
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发表时间：
2000
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通讯作者：
N. Strickland
中科院分区：
文献类型：
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作者：
N. Strickland
建立了一个用代数几何方法研究代数拓扑中广义上同环的框架。这个想法可能是由Quillen首先提出的，它奠定了我们对复杂取向上同理论的理解，Morava的工作就是一个例子。大多数结果在代数几何文献中有密切和众所周知的相似之处，但具有不同的定义或技术假设，这通常不利于拓扑应用。我们只是把所有的东西以一种系统和方便的方式放在一起。
We set up a framework for using algebraic geometry to study the generalised cohomology rings that occur in algebraic topology. This idea was probably first introduced by Quillen and it underlies much of our understanding of complex oriented cohomology theories, exemplified by the work of Morava. Most of the results have close and well-known analogues in the algebro-geometric literature, but with different definitions or technical assumptions that are often inconvenient for topological applications. We merely put everything together in a systematic and convenient way.