TL;DR
This paper explores Zhu's theory of a formal analogue of the finite field Fp at p=1 and compares it with Deitmar's approach, providing insights into algebraic structures at this special case.
Contribution
It presents an exposition of Zhu's theory for p=1 and compares it with Deitmar's framework, highlighting their similarities and differences.
Findings
Zhu's theory offers a formal analogue of Fp at p=1.
Comparison reveals structural similarities and differences.
Provides foundational understanding of algebraic analogues at p=1.
Abstract
We give an exposition of Zhu's theory concerning a formal analogue of the field Fp, "for p = 1", and then compare it to Deitmar's.-- Nous exposons la th\'eorie de Zhu concernant un analogue formel du corps Fp "pour p = 1", et la comparons \`a celle de Deitmar.
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Taxonomy
TopicsHistory and Theory of Mathematics · Algebraic Geometry and Number Theory