On the structure of Milnor K -groups of certain complete discrete valuation fields

Masato Kurihara[1]

  • [1] Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo, 192-03, Japan

Journal de Théorie des Nombres de Bordeaux (2004)

  • Volume: 16, Issue: 2, page 377-401
  • ISSN: 1246-7405

Abstract

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For a typical example of a complete discrete valuation field K of type II in the sense of [12], we determine the graded quotients gr i K 2 ( K ) for all i > 0 . In the Appendix, we describe the Milnor K -groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.

How to cite

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Kurihara, Masato. "On the structure of Milnor $K$-groups of certain complete discrete valuation fields." Journal de Théorie des Nombres de Bordeaux 16.2 (2004): 377-401. <http://eudml.org/doc/249271>.

@article{Kurihara2004,
abstract = {For a typical example of a complete discrete valuation field $K$ of type II in the sense of [12], we determine the graded quotients $\operatornamewithlimits\{gr\}^\{i\}K_\{2\}(K)$ for all $i&gt;0$. In the Appendix, we describe the Milnor $K$-groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.},
affiliation = {Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo, 192-03, Japan},
author = {Kurihara, Masato},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Milnor -group; complete discrete valuation field; Kähler differential; -adic exponential},
language = {eng},
number = {2},
pages = {377-401},
publisher = {Université Bordeaux 1},
title = {On the structure of Milnor $K$-groups of certain complete discrete valuation fields},
url = {http://eudml.org/doc/249271},
volume = {16},
year = {2004},
}

TY - JOUR
AU - Kurihara, Masato
TI - On the structure of Milnor $K$-groups of certain complete discrete valuation fields
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2004
PB - Université Bordeaux 1
VL - 16
IS - 2
SP - 377
EP - 401
AB - For a typical example of a complete discrete valuation field $K$ of type II in the sense of [12], we determine the graded quotients $\operatornamewithlimits{gr}^{i}K_{2}(K)$ for all $i&gt;0$. In the Appendix, we describe the Milnor $K$-groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.
LA - eng
KW - Milnor -group; complete discrete valuation field; Kähler differential; -adic exponential
UR - http://eudml.org/doc/249271
ER -

References

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