Uniformization of rigid subanalytic sets
Compositio Mathematica (1994)
- Volume: 94, Issue: 3, page 227-245
- ISSN: 0010-437X
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topSchoutens, Hans. "Uniformization of rigid subanalytic sets." Compositio Mathematica 94.3 (1994): 227-245. <http://eudml.org/doc/90335>.
@article{Schoutens1994,
author = {Schoutens, Hans},
journal = {Compositio Mathematica},
keywords = {uniformization; rigid subanalytic sets},
language = {eng},
number = {3},
pages = {227-245},
publisher = {Kluwer Academic Publishers},
title = {Uniformization of rigid subanalytic sets},
url = {http://eudml.org/doc/90335},
volume = {94},
year = {1994},
}
TY - JOUR
AU - Schoutens, Hans
TI - Uniformization of rigid subanalytic sets
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 94
IS - 3
SP - 227
EP - 245
LA - eng
KW - uniformization; rigid subanalytic sets
UR - http://eudml.org/doc/90335
ER -
References
top- [Ba] G. Bachman, Introduction to p-adic Numbers and Valuation Theory, New York, 1964. Zbl0192.40103MR169847
- [Bar] W. Bartenwerfer, Die Beschränktheit der Stükzahl der Fasern K-analytischer Abbildungen, J. Reine Angew. Math.416 (1991), 49-70. Zbl0722.32018MR1099945
- [BGR] S. Bosch, U. Güntzer and R. Remmert, Non Archimedean Analysis, Springer-Verlag, Berlin, 1984. Zbl0539.14017MR746961
- [BM] E. Bierstone and P.D. Milman, Semianalytic and subanalytic sets, Publ. Math. I.H.E.S.67 (1988), 5-42. Zbl0674.32002MR972342
- [Den] J. Denef, Multiplicity of the poles of the Poincare series of a p-adic subanalytic set, Sem. Theorie des Nombres de Bordeaux (1988, Expose 43), 43-01-43-08. Zbl0682.12013
- [DvdD] J. Denef and L. van den Dries, p-adic and real subanalytic sets, Ann. Math.128 (1988), 79-138. Zbl0693.14012MR951508
- [FvdP] J. Fresnel and M. van der Put, Géométrie Analytique Rigide et Applications, Birkhäuser, Boston, 1981. Zbl0479.14015MR644799
- [Ga 1] A.M. Gabrielov, Projections of semianalytic sets, Functional Anal. Appl.2 (1968), 282-291. Zbl0179.08503MR245831
- [Ga 2] A.M. Gabrielov, Formal relations between analytic functions, Math. USSR Izvestija7 (1973), 1056-1088. Zbl0297.32007MR346184
- [Hi 1] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math.79 (1964), 109-326. Zbl0122.38603MR199184
- [Hi 2] H. Hironaka, Introduction to Real-analytic Sets and Real-analytic Maps, Instituto Mathematico L. Tonelli, Pisa, 1973. MR477121
- [Hi 3] H. Hironaka, Subanalytic Sets, Number theory, algebraic geometry and commutative algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1973, pp. 453-493. Zbl0297.32008MR377101
- [Ki] R. Kiehl, Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie, Inventiones Math.2 (1967), 191-214. Zbl0202.20101MR210948
- [Lip 1] L. Lipshitz, Rigid subanalytic sets, Amer. J. Math.115 (1993), 77-108. Zbl0792.14010MR1209235
- [Lip 2] L. Lipshitz, Isolated points on fibers of affinoid varieties, J. für reine und angew. Math.384 (1988), 208-220. Zbl0636.14006MR929984
- [Lip 3] L. Lipshitz, p-adic zeros of polynomials, J. für reine und angew. Math390 (1988), 208-214. Zbl0653.12006MR953685
- [Loj 1] S. Łojasiewicz, Sur la sémi analycité des images inverses par l'application tangente, Bull. Ac. Polon. Sci.27 (1979), 525-527. Zbl0452.32005
- [Loj 2] S. Łojasiewicz, Ensembles sémi-analytiques, IHES, Bures-sur-Yvette, 1965.
- [Sch 1] H. Schoutens, Rigid Subanalytic Sets, Comp. Math. (1994) (to appear). Zbl0867.32012MR1310860
- [Sch 2] H. Schoutens, Approximation and Subanalytic Sets over a Complete Valuation Ring, Ph.D. Thesis, Leuven, 1991.
- [Sch 3] H. Schoutens, Rigid Subanalytic Sets in the Plane, J. Algebra (1993) (to appear). Zbl0826.14014MR1302840
- [Sch 4] H. Schoutens, Embedded Resolution of Singularities in Rigid Analytic Geometry, (1994) (to appear). Zbl0972.32018
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