Abhyankar places admit local uniformization in any characteristic

Hagen Knaf; Franz-Viktor Kuhlmann

Annales scientifiques de l'École Normale Supérieure (2005)

  • Volume: 38, Issue: 6, page 833-846
  • ISSN: 0012-9593

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Knaf, Hagen, and Kuhlmann, Franz-Viktor. "Abhyankar places admit local uniformization in any characteristic." Annales scientifiques de l'École Normale Supérieure 38.6 (2005): 833-846. <http://eudml.org/doc/82676>.

@article{Knaf2005,
author = {Knaf, Hagen, Kuhlmann, Franz-Viktor},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {6},
pages = {833-846},
publisher = {Elsevier},
title = {Abhyankar places admit local uniformization in any characteristic},
url = {http://eudml.org/doc/82676},
volume = {38},
year = {2005},
}

TY - JOUR
AU - Knaf, Hagen
AU - Kuhlmann, Franz-Viktor
TI - Abhyankar places admit local uniformization in any characteristic
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2005
PB - Elsevier
VL - 38
IS - 6
SP - 833
EP - 846
LA - eng
UR - http://eudml.org/doc/82676
ER -

References

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  2. [2] Abhyankar S., An algorithm on polynomials in one indeterminate with coefficients in a two dimensional regular local domain, Ann. Mat. Pura Appl. (4)71 (1966) 25-59. Zbl0158.04201MR207699
  3. [3] Abhyankar S., Resolution of Singularities of Embedded Algebraic Surfaces, Academic Press, New York, 1966, Springer, New York, 1998. Zbl0147.20504MR1617523
  4. [4] Abhyankar S., Local uniformization on algebraic surfaces over ground fields of characteristic p 0 , Ann. of Math.63 (1956) 491-526. Zbl0108.16803MR78017
  5. [5] Abhyankar S., Resolution of Singularities of Arithmetical Surfaces, Arithmetical Algebraic Geometry, Harper and Row, New York, 1965. Zbl0147.20503MR200272
  6. [6] Abhyankar S., Uniformization of Jungian local domains, Math. Ann.159 (1965) 1-43. Zbl0127.01702MR177989
  7. [7] Bourbaki N., Commutative Algebra, Hermann, Paris, 1972. MR360549
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  9. [9] Elliott G.A., On totally ordered groups, and K 0 , in: Handelman D., Lawrence J. (Eds.), Ring Theory, Waterloo, 1978, Lecture Notes Math., vol. 734, Springer, Berlin, 1979, pp. 1-49. Zbl0418.06010MR548122
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  13. [13] Knaf, H., Kuhlmann, F.-V., Every place admits local uniformization in a finite extension of the function field, in preparation. Zbl1221.14016
  14. [14] Kuhlmann, F.-V., On local uniformization in arbitrary characteristic, The Fields Institute Preprint Series, Toronto, 1997. 
  15. [15] Kuhlmann F.-V., Valuation theoretic and model theoretic aspects of local uniformization, in: Hauser H., Lipman J., Oort F., Quiros A. (Eds.), Resolution of Singularities—A Research Textbook in Tribute to Oscar Zariski, Progr. Math., vol. 181, Birkhäuser, Basel, 2000, pp. 381-456. Zbl1046.14001
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  17. [17] Kuhlmann, F.-V., Elimination of ramification in valued function fields I: The generalized stability theorem, submitted for publication. 
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