Embedded resolution of singularities in rigid analytic geometry

Hans Schoutens

Annales de la Faculté des sciences de Toulouse : Mathématiques (1999)

  • Volume: 8, Issue: 2, page 297-330
  • ISSN: 0240-2963

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Schoutens, Hans. "Embedded resolution of singularities in rigid analytic geometry." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.2 (1999): 297-330. <http://eudml.org/doc/73489>.

@article{Schoutens1999,
author = {Schoutens, Hans},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {rigid analytic spaces; resolution of singularities},
language = {eng},
number = {2},
pages = {297-330},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Embedded resolution of singularities in rigid analytic geometry},
url = {http://eudml.org/doc/73489},
volume = {8},
year = {1999},
}

TY - JOUR
AU - Schoutens, Hans
TI - Embedded resolution of singularities in rigid analytic geometry
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1999
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 2
SP - 297
EP - 330
LA - eng
KW - rigid analytic spaces; resolution of singularities
UR - http://eudml.org/doc/73489
ER -

References

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  2. [BM2] Bierstone ( E.) and Milman ( P.D.). — Canonical desingularization in characteristic zero by blowing up the maximal strata of a local invariant, Invent. Math., 128 (1997), pp. 207-302. Zbl0896.14006MR1440306
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  7. [Hi] Hironaka ( H.). — Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., 79 (1964), pp. 109-326. Zbl0122.38603MR199184
  8. [Kap] I. KAPLANSKY ( I.). — Commutative Rings, Allyn and Bacon, Boston, 1969. Zbl0203.34601MR254021
  9. [Köp] Köpf ( U.). - Über eigentliche Familien algebraischer Varietäten über affinoiden Räumen, 2 Serie, vol. Heft 7, Schriftenreihe Math. Inst. Univ. Münster, 1974 Zbl0275.14006MR422671
  10. [Mats] Matsumura ( H.). — Commutative ring theory, Cambridge University Press, Cambridge, 1986. Zbl0603.13001MR879273
  11. [Mats 2] Matsumura ( H.). — Commutative algebra, W.A. Benjamin, 1970. Zbl0211.06501MR266911
  12. [Sch 0] Schoutens ( H.). - Approximation and Subanalytic Sets over a Complete Valuation Ring, Ph.D. Thesis, Leuven, 1991. 
  13. [Sch 1] Schoutens ( H.). - Rigid Subanalytic Sets, Compositio Math., 94 (1994), pp. 269-295. Zbl0867.32012MR1310860
  14. [Sch 2] Schoutens ( H.). — Uniformization of Rigid Subanalytic Sets, Compositio Math., 94 (1994), pp. 227-245. Zbl0867.32011MR1310858
  15. [Sch 3] Schoutens ( H.). - Rigid Subanalytic Sets in the Plane, J. Algebra, 170, No. 1 (1994), pp. 266-276. Zbl0826.14014MR1302840
  16. [Sch 4] Schoutens ( H.). - Blowing Up in Rigid Analytic Geometry, Bull. of Belg. Math. Soc., 2 (1994), pp. 401-419. Zbl0854.32020MR1355829
  17. [Sch 5] Schoutens ( H.). — The closure of rigid semianalytic sets, Am. J. Math., 198 (1997), pp. 120-134. Zbl0949.14034MR1482978

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