< > 𝒜 < >-Schemes and Zariski-Riemann Spaces

Satoshi Takagi

Rendiconti del Seminario Matematico della Università di Padova (2012)

  • Volume: 127, page 121-178
  • ISSN: 0041-8994

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Takagi, Satoshi. "&lt;$&gt;\mathcal {A}&lt;$&gt;-Schemes and Zariski-Riemann Spaces." Rendiconti del Seminario Matematico della Università di Padova 127 (2012): 121-178. <http://eudml.org/doc/275124>.

@article{Takagi2012,
author = {Takagi, Satoshi},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {121-178},
publisher = {Seminario Matematico of the University of Padua},
title = {&lt;$&gt;\mathcal \{A\}&lt;$&gt;-Schemes and Zariski-Riemann Spaces},
url = {http://eudml.org/doc/275124},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Takagi, Satoshi
TI - &lt;$&gt;\mathcal {A}&lt;$&gt;-Schemes and Zariski-Riemann Spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2012
PB - Seminario Matematico of the University of Padua
VL - 127
SP - 121
EP - 178
LA - eng
UR - http://eudml.org/doc/275124
ER -

References

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  1. [CN] W. W. Comfort - S. Negrepontis, The theory of ultrafilters, Grundlehren der mathematischen Wissenschaften 211 (1974), Springer-Verlag. Zbl0298.02004MR396267
  2. [Con] B. Conrad, Deligne's notes on Nagata compactifications, J. Ramanujan Math. Soc., 22, no. 3 (2007), pp. 205–257. Zbl1142.14001MR2356346
  3. [EGA4] A. Grothendieck, Éléments de Géométrie Algébrique IV. Étude locale des schémas et des morphisms de schémas, Inst. Hautes Études Sci. Publ. Math., no. 32 (1967). Zbl0153.22301MR238860
  4. [KS] M. Kashiwara - P. Schapira, Categories and sheaves, Grundlehren der mathematischen Wissenschaften 332 (2006), Springer-Verlag. Zbl1118.18001MR2182076
  5. [CWM] S. Maclane, Categories for the working mathematician, Graduate Texts in Mathematics, vol. 5 (1998), 2nd edition, Springer-Verlag. Zbl0906.18001MR1712872
  6. [Mat] H. Matsumura, Commutative ring theory, Cambridge Studies in Advanced Math. no. 8 (1986), Cambridge University Press. Zbl0603.13001MR879273
  7. [Nag] M. Nagata, Imbedding of an abstract variety in a complete variety, J. Math. Kyoto, 2, no. 1 (1962), pp. 1–10. Zbl0109.39503MR142549
  8. [Ste] V. Steven, Locales and toposes as spaces, Handbook of Spatial Logics, Springer (2007), Chap. 8. MR2393892
  9. [Tak] S. Takagi, Construction of schemes over 𝔽 1 , and over idempotent rings: towards tropical geometry, preprint (arXiv:1009.0121). 
  10. [Tem] M. Temkin, Relative Riemann-Zariski space, preprint (arXiv:0804.2843v1), to appear in Israel Journal of Mathematics. Zbl1273.14007MR2837126

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