Uniformization of rigid subanalytic sets

Hans Schoutens

Compositio Mathematica (1994)

  • Volume: 94, Issue: 3, page 227-245
  • ISSN: 0010-437X

How to cite

top

Schoutens, 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
  1. [Ba] G. Bachman, Introduction to p-adic Numbers and Valuation Theory, New York, 1964. Zbl0192.40103MR169847
  2. [Bar] W. Bartenwerfer, Die Beschränktheit der Stükzahl der Fasern K-analytischer Abbildungen, J. Reine Angew. Math.416 (1991), 49-70. Zbl0722.32018MR1099945
  3. [BGR] S. Bosch, U. Güntzer and R. Remmert, Non Archimedean Analysis, Springer-Verlag, Berlin, 1984. Zbl0539.14017MR746961
  4. [BM] E. Bierstone and P.D. Milman, Semianalytic and subanalytic sets, Publ. Math. I.H.E.S.67 (1988), 5-42. Zbl0674.32002MR972342
  5. [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
  6. [DvdD] J. Denef and L. van den Dries, p-adic and real subanalytic sets, Ann. Math.128 (1988), 79-138. Zbl0693.14012MR951508
  7. [FvdP] J. Fresnel and M. van der Put, Géométrie Analytique Rigide et Applications, Birkhäuser, Boston, 1981. Zbl0479.14015MR644799
  8. [Ga 1] A.M. Gabrielov, Projections of semianalytic sets, Functional Anal. Appl.2 (1968), 282-291. Zbl0179.08503MR245831
  9. [Ga 2] A.M. Gabrielov, Formal relations between analytic functions, Math. USSR Izvestija7 (1973), 1056-1088. Zbl0297.32007MR346184
  10. [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
  11. [Hi 2] H. Hironaka, Introduction to Real-analytic Sets and Real-analytic Maps, Instituto Mathematico L. Tonelli, Pisa, 1973. MR477121
  12. [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
  13. [Ki] R. Kiehl, Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie, Inventiones Math.2 (1967), 191-214. Zbl0202.20101MR210948
  14. [Lip 1] L. Lipshitz, Rigid subanalytic sets, Amer. J. Math.115 (1993), 77-108. Zbl0792.14010MR1209235
  15. [Lip 2] L. Lipshitz, Isolated points on fibers of affinoid varieties, J. für reine und angew. Math.384 (1988), 208-220. Zbl0636.14006MR929984
  16. [Lip 3] L. Lipshitz, p-adic zeros of polynomials, J. für reine und angew. Math390 (1988), 208-214. Zbl0653.12006MR953685
  17. [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
  18. [Loj 2] S. Łojasiewicz, Ensembles sémi-analytiques, IHES, Bures-sur-Yvette, 1965. 
  19. [Sch 1] H. Schoutens, Rigid Subanalytic Sets, Comp. Math. (1994) (to appear). Zbl0867.32012MR1310860
  20. [Sch 2] H. Schoutens, Approximation and Subanalytic Sets over a Complete Valuation Ring, Ph.D. Thesis, Leuven, 1991. 
  21. [Sch 3] H. Schoutens, Rigid Subanalytic Sets in the Plane, J. Algebra (1993) (to appear). Zbl0826.14014MR1302840
  22. [Sch 4] H. Schoutens, Embedded Resolution of Singularities in Rigid Analytic Geometry, (1994) (to appear). Zbl0972.32018

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.