@article{RSMUP_2012__127__121_0,
author = {Takagi, Satoshi},
title = {$\mathcal {A}${-Schemes} and {Zariski-Riemann} {Spaces}},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {121--178},
year = {2012},
publisher = {Seminario Matematico of the University of Padua},
volume = {127},
mrnumber = {2978003},
language = {en},
url = {https://www.numdam.org/item/RSMUP_2012__127__121_0/}
}
TY - JOUR
AU - Takagi, Satoshi
TI - $\mathcal {A}$-Schemes and Zariski-Riemann Spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2012
SP - 121
EP - 178
VL - 127
PB - Seminario Matematico of the University of Padua
UR - https://www.numdam.org/item/RSMUP_2012__127__121_0/
LA - en
ID - RSMUP_2012__127__121_0
ER -
%0 Journal Article
%A Takagi, Satoshi
%T $\mathcal {A}$-Schemes and Zariski-Riemann Spaces
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2012
%P 121-178
%V 127
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_2012__127__121_0/
%G en
%F RSMUP_2012__127__121_0
Takagi, Satoshi. $\mathcal {A}$-Schemes and Zariski-Riemann Spaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 127 (2012), pp. 121-178. https://www.numdam.org/item/RSMUP_2012__127__121_0/
[CN] - , The theory of ultrafilters, Grundlehren der mathematischen Wissenschaften 211 (1974), Springer-Verlag. | Zbl | MR
[Con] , Deligne's notes on Nagata compactifications, J. Ramanujan Math. Soc., 22, no. 3 (2007), pp. 205-257. | Zbl | MR
[EGA4] , Éléments de Géométrie Algébrique IV. Étude locale des schémas et des morphisms de schémas, Inst. Hautes Études Sci. Publ. Math., no. 32 (1967). | Zbl | MR | Numdam
[KS] - , Categories and sheaves, Grundlehren der mathematischen Wissenschaften 332 (2006), Springer-Verlag. | Zbl | MR
[CWM] , Categories for the working mathematician, Graduate Texts in Mathematics, vol. 5 (1998), 2nd edition, Springer-Verlag. | Zbl | MR
[Mat] , Commutative ring theory, Cambridge Studies in Advanced Math. no. 8 (1986), Cambridge University Press. | Zbl | MR
[Nag] , Imbedding of an abstract variety in a complete variety, J. Math. Kyoto, 2, no. 1 (1962), pp. 1-10. | Zbl | MR
[Ste] , Locales and toposes as spaces, Handbook of Spatial Logics, Springer (2007), Chap. 8. | MR
[Tak] , Construction of schemes over , and over idempotent rings: towards tropical geometry, preprint (arXiv:1009.0121).
[Tem] , Relative Riemann-Zariski space, preprint (arXiv:0804.2843v1), to appear in Israel Journal of Mathematics. | MR





