On two types of complete discrete valuation fields

Masato Kurihara

Compositio Mathematica (1987)

  • Volume: 63, Issue: 2, page 237-257
  • ISSN: 0010-437X

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Kurihara, Masato. "On two types of complete discrete valuation fields." Compositio Mathematica 63.2 (1987): 237-257. <http://eudml.org/doc/89861>.

@article{Kurihara1987,
author = {Kurihara, Masato},
journal = {Compositio Mathematica},
keywords = {nonperfect residue field; variety with good reduction; discrete valuation field; higher ramification; Parshin-Kato local class field theory; reciprocity},
language = {eng},
number = {2},
pages = {237-257},
publisher = {Martinus Nijhoff Publishers},
title = {On two types of complete discrete valuation fields},
url = {http://eudml.org/doc/89861},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Kurihara, Masato
TI - On two types of complete discrete valuation fields
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 2
SP - 237
EP - 257
LA - eng
KW - nonperfect residue field; variety with good reduction; discrete valuation field; higher ramification; Parshin-Kato local class field theory; reciprocity
UR - http://eudml.org/doc/89861
ER -

References

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  6. 6 M. Demazure: Lectures on p-divisible groups. Lecture Notes in Math., 302. Springer, Berlin (1972). Zbl0247.14010MR344261
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  8. 8 O. Hyodo: Wild ramification in the imperfect residue field case, preprint. MR948250
  9. 9 L. Illusie: Complexe de De Rham-Witt et cohomologie crystalline. Ann. Sc. Ec. Norm. Sup.4ème série, 12 (1979) 501-661. Zbl0436.14007MR565469
  10. 10 K. Kato: A generalization of local class field theory by using K-groups. II. J. Fac. Sci. Univ. Tokyo27 (1980) 603-683. Zbl0463.12006MR603953
  11. 11 K. Kato: Galois cohomology of complete discrete valuation fields. Lecture Notes in Math., 967. Springer (1982). Zbl0506.12022MR689394
  12. 12 K. Kato: Residue homomorphisms in Milnor K-theory. Adv. St. Pure Math.2 (1983) 153-172. Zbl0586.12011MR732467
  13. 13 K. Kato: Milnor K-theory and the Chow group of zero cycles. Contemporary Math.55, Part I (1986) 241-253. Zbl0603.14009MR862638
  14. 14 K. Kato and S. Saito: Global class field theory of arithmetic schemes. Contemporary Math.55, Part I (1986) 255-331. Zbl0614.14001MR862639
  15. 15 S. Lang: Unramified class field theory over function fields in several variables. Ann. Math.64 (1956) 285-325. Zbl0089.26201MR83174
  16. 16 H. Miki: On cyclic extensions of p-power degree over complete p-adic fields (in Japanese), Master's thesis. Univ. Tokyo (1973). 
  17. 17 J.P. Serre: Sur les corps locaux à corps résiduel algébriquement clos. Bull. Soc. Math. France89 (1961) 105-154. Zbl0166.31103MR142534
  18. 18 J.P. Serre: Corps locaux (3e édition). Hermann, Paris (1968). MR354618

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