Some properties of G-schemes

Tsemo Aristide

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arXiv · 1708.00359

Some properties of G-schemes

Tsemo Aristide

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Abstract

In this paper, we continue to adapt the theories of spectra and schemes developed by Grothendieck in algebraic geometry to the category of groups. Let $G$ be a group, and $(H,f_G^H)$ and object of the comma category $C(G)$. In [5], we have defined on the set $Spec_G(H)$ of prime ideals of $(H,f_G^H)$ a topology. In this paper, we define another notion of prime ideals to which we associate a spectrum endowed with a topology. We study some properties and objects associated to these spectra; amongst them we can quote, irreducibility, the radical, the structural sheaf, $G$-varieties and $G$-schemes. \bigskip

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Tsemo Aristide. 2017-08-01. Some properties of G-schemes. https://arxiv.org/abs/1708.00359

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