Tate duality and ramification of division algebras

Takao Yamazaki

Acta Mathematica et Informatica Universitatis Ostraviensis (2002)

  • Volume: 10, Issue: 1, page 153-160
  • ISSN: 1804-1388

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Yamazaki, Takao. "Tate duality and ramification of division algebras." Acta Mathematica et Informatica Universitatis Ostraviensis 10.1 (2002): 153-160. <http://eudml.org/doc/23860>.

@article{Yamazaki2002,
author = {Yamazaki, Takao},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {survey paper; ramification; division algebras; Tate duality; Jacobian varieties},
language = {eng},
number = {1},
pages = {153-160},
publisher = {University of Ostrava},
title = {Tate duality and ramification of division algebras},
url = {http://eudml.org/doc/23860},
volume = {10},
year = {2002},
}

TY - JOUR
AU - Yamazaki, Takao
TI - Tate duality and ramification of division algebras
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2002
PB - University of Ostrava
VL - 10
IS - 1
SP - 153
EP - 160
LA - eng
KW - survey paper; ramification; division algebras; Tate duality; Jacobian varieties
UR - http://eudml.org/doc/23860
ER -

References

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  1. Coates J., Greenberg R., 10.1007/s002220050048, Invent. Math. 124, 129-174 (1996). (1996) Zbl0858.11032MR1369413DOI10.1007/s002220050048
  2. Hyodo O., Wild ramification in the imperfect residue field case, Adv. Stud. Pure Math., 12, 287-314 (1987). (1987) Zbl0649.12011MR0948250
  3. Kato K., A generalization of local class field theory by using K-groups. I., J. Fac. Sci. U. of Tokyo, Sec IA 26, 303-376 (1989). (1989) MR0550688
  4. Kato K., 10.1090/conm/083/991978, Contemporary Math. 83, 101-131 (1989). (1989) Zbl0716.12006MR0991978DOI10.1090/conm/083/991978
  5. McCallum W., 10.1007/BF01444549, Math. Ann. 288, 553-558 (1990). (1990) Zbl0767.11057MR1081262DOI10.1007/BF01444549
  6. Serre J.P., Corps locaux, Hermann (1962). (1962) Zbl0137.02601MR0354618
  7. Tate J., WC-groups over p-adic fields, Seminaire Bourbaki, 156 13p (1957). (1957) MR0105420
  8. Yamazaki T., 10.1023/A:1000439025718, Comp. Math. 112, 127-145 (1998). (1998) Zbl0990.11072MR1626092DOI10.1023/A:1000439025718
  9. Yamazaki T., 10.1090/S0002-9939-99-04775-9, Proc. Amer. Math. Soc. 127, 1269-1274 (1999). (1999) Zbl0921.14008MR1487348DOI10.1090/S0002-9939-99-04775-9
  10. Yamazaki T., On Tate duality for Jacobian varieties, preprint (2001). Zbl1049.11129MR1968454

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