A version of the Grothendieck conjecture for p-adic local fields

International Journal of Mathematics

Volumn 8, Issue 4, 1997, Pages 499-506

  Mochizuki, Shinichi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031287292     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X97000251     Document Type: Article

References (9)

1. 1. J.-P. Serre, Abelian l-adic Representations and Elliptic Curves. W. A. Benjamin. Inc., 1968.
2. 2. S. Block and K. Kato, L-Functions and Tamagawa Numbers in The Grothendieck Festschrift, Volume I. Birkhäuser, 1990, pp. 333-400.
3. 3. J.-P. Serre, Local Class Field Theory in Algebraic Number Theory, eds. J.W.S. Cassels and A. Fröhlich, Academic Press, 1967.
4. 4. J. Koenigsmann, From p-rigid elements to valuations (with a Galois-characterization of p-adic fields). J. Reine Angew. Math. 465 (1995), 165-182.
5. 5. N. Koblitz, p-adic Numbers, p-adic Analysis, and Zeta-Functions, Graduate Texts in Mathematics 58, Springer Verlag, 1977.
6. 6. J.-P. Serre, Local Fields, Graduate Texts in Mathematics 67, Springer Verlag, 1979.
7. 7. S. Mochizuki, The Local Pro-p Grothendieck Conjecture for Hyperbolic Curves, RIMS Preprint No. 1045, 1995.
8. 8. M. Jarden and J. Ritter, On the characterization of local fields by their absolute Galois groups, J. Number Th. 11 (1979), 1-13.
9. 9. F. Pop, Galoissche Kennzeichnung p-adisch abgescholessener Körper, J. Reine Angew. Math. 392 (1988), 145-175.