Geodesic
Some adjoints in homotopy categories
Amnon Neeman1
1 Centre for Mathematics and its Applications<br/>Mathematical Sciences Institute<br/>John Dedman Building<br/>The Australian National University<br/>Canberra, ACT 0200<br/>AUSTRALIA
Annals of mathematics, Tome 171 (2010) no. 3, pp. 2143-2155.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $R$ be a ring. In a previous paper [11] we found a new description for the category $\mathbf{K}(R\text{-Proj})$; it is equivalent to the Verdier quotient $\mathbf{K}(R\text{-Flat})/{\mathscr S}$, for some suitable $\mathscr{S}\subset\mathbf{K}(R\text{-Flat})$. In this article we show that the quotient map from $\mathbf{K}(R\text{-Flat})$ to $\mathbf{K}(R\text{-Flat})/\mathscr{S}$ always has a right adjoint. This gives a new, fully faithful embedding of $\mathbf{K}(R\text{-Proj})$ into $\mathbf{K}(R\text{-Flat})$. Its virtue is that it generalizes to nonaffine schemes.
DOI : 10.4007/annals.2010.171.2143

Amnon Neeman 1

1 Centre for Mathematics and its Applications<br/>Mathematical Sciences Institute<br/>John Dedman Building<br/>The Australian National University<br/>Canberra, ACT 0200<br/>AUSTRALIA 
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Amnon Neeman. Some adjoints in homotopy categories. Annals of mathematics, Tome 171 (2010) no. 3, pp. 2143-2155. doi : 10.4007/annals.2010.171.2143. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.2143/

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