Specializations and a local homeomorphism theorem for real Riemann surfaces of rings.
M. J. de la Puente
Source: Pacific J. Math. Volume 176, Number 2
(1996), 427-442.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102104972
Zentralblatt MATH identifier: 0868.13004
Mathematical Reviews number (MathSciNet): MR1435000
References
[A-K] A. Altman and S. Kleiman, Introduction to Grothendieck duality theory, LNM, 146, Springer-Verlag, Berlin-Heidelberg-New York, 1970.
Mathematical Reviews (MathSciNet): MR43:224
Zentralblatt MATH: 0215.37201
[A-R] M.E. Alonso and M.-F. Roy, Real strict localizations, Math. Zeit., 194 (1987), 429-441.
Mathematical Reviews (MathSciNet): MR88i:14014
Zentralblatt MATH: 0595.20061
[A] J. Ax, A metamathematicalapproach to some problems in number theory, Proc. Symp. Pure Math., AMS, 20 (1971), 161-190.
Mathematical Reviews (MathSciNet): MR47:4966
Zentralblatt MATH: 0218.10075
[B] E. Becker, On the real spectrum of a ring and its applications to semialgebraic geometry, Bull. AMS (N.S.), 15 (1986), 19-60.
Mathematical Reviews (MathSciNet): MR88g:14022
Zentralblatt MATH: 0634.14016
[B-C-R] J. Bochnak, M. Coste and M.-F. Roy, Geometrie algebrique reelle, Ergebnisse der Math. 3 Folge Band 12, Springer-Verlag, Berlin-Heidelberg-New York, 1987.
Mathematical Reviews (MathSciNet): MR90b:14030
Zentralblatt MATH: 0633.14016
[C-R 1] M. Coste and M.-F. Roy, La topologie du spectre reel, Cont. Math., AMS, 8 (1982), 27-59.
Mathematical Reviews (MathSciNet): MR83m:14017
Zentralblatt MATH: 0485.14007
[C-R 2] M. Coste and M.-F. Roy, Le spectre etale reel d'un anneau est spatial, C.R. Acad. Sc. Paris, 290(A) (1980), 91-94.
Mathematical Reviews (MathSciNet): MR81c:14001
Zentralblatt MATH: 0433.14018
[E] O. Endler, Valuation theory, Universitext, Springer-Verlag, Berlin-Heidelberg-New York, 1972.
Mathematical Reviews (MathSciNet): MR50:9847
Zentralblatt MATH: 0257.12111
[H] R. Huber, Bewertungsspektrumund rigide Geometrie, Habilitationschrift, U. Re- gensburg, 1990.
Mathematical Reviews (MathSciNet): MR95c:32036
[H-K] R. Huber and M. Knebusch, On valuation spectra, in Cont. Math., AMS, 155 (1994), 167-206.
Mathematical Reviews (MathSciNet): MR95f:13002
Zentralblatt MATH: 0911.13002
[I] B. Iversen, Generic local structure in commutativealgebra, LNM, 310, Springer- Verlag, Berlin-Heidelberg-New York, 1973.
Mathematical Reviews (MathSciNet): MR50:13023
Zentralblatt MATH: 0247.13001
[K] F.-V. Kuhlmann, Valuation theory for fields, abelian groups and modules, "Algebra, logic and applications" series, Gordan and Breach, to appear.
[La] T.-Y. Lam, Orderings, valuations and quadratic forms, CBMS Reg. Conf. Ser. in Math., AMS, 52 (1983).
Mathematical Reviews (MathSciNet): MR85e:11024
Zentralblatt MATH: 0516.12001
[Li] J. Lipman, Appendix to chapter II, in Algebraic Surfaces by O. ZARISKI, 2nd. sup. ed., Ergebnisse der Math. Band 61, Springer-Verlag, Berlin-Heidelberg-New York, 1971.
Mathematical Reviews (MathSciNet): MR57:9695
[M] J.S. Milne, Etale Cohomology,Princeton Univ. Press, Princeton, 1980.
Mathematical Reviews (MathSciNet): MR81j:14002
[Pr] A. Prestel, Einfrung in die Mathematische Logik und Modelltheorie, Friedr. Vieweg und Sohn, Braunschweig/Wiesbaden, 1986.
Mathematical Reviews (MathSciNet): MR88i:03003
Zentralblatt MATH: 0616.03001
[Pu] M.J. de la Puente, Riemann surfaces of a ring and compactifications of semi- algebraic sets, Ph. D. dissertation, Stanford, 1988.
[Ra] M. Raynaud, Anneaux locaux henseliens, LNM, 169, Springer-Verlag, Berlin-Heid- elberg-New York, 1970.
Mathematical Reviews (MathSciNet): MR43:3252
Zentralblatt MATH: 0203.05102
[Ri] P. Ribenboim, Theorie des valuations, 2nd. ed., U. Montreal, 1968.
Mathematical Reviews (MathSciNet): MR40:2670
Zentralblatt MATH: 0139.26201
[Ro] M.-F. Roy, Faisceau structural sur le spectre reel et functions de Nash, in LNM 959, Springer-Verlag, Berlin-Heidelberg-New York, (1982), 406-432.
Mathematical Reviews (MathSciNet): MR84d:14015
Zentralblatt MATH: 0497.14009
[S] N. Schwartz, Compactification of varieties, Ark. for Mat., 28(2) (1990), 333-370.
Mathematical Reviews (MathSciNet): MR92i:14022
Zentralblatt MATH: 0724.14036
[Z-S] O. Zariski and P. Samuel, Commutative algebra, II, GTM, 29, Springer-Verlag, Berlin-Heidelberg-New York, 1960.
Mathematical Reviews (MathSciNet): MR52:10706
Zentralblatt MATH: 0121.27901
Pacific Journal of Mathematics
