| Title:
|
Tate duality and ramification of division algebras (English) |
| Author:
|
Yamazaki, Takao |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
153-160 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11G10 |
| MSC:
|
11S25 |
| MSC:
|
11S45 |
| MSC:
|
14G20 |
| MSC:
|
14H40 |
| MSC:
|
16K20 |
| idZBL:
|
Zbl 1025.11036 |
| idMR:
|
MR1943035 |
| . |
| Date available:
|
2009-01-30T09:10:13Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120581 |
| . |
| Reference:
|
[1] Coates J., Greenberg R.: Kummer theory for abelian varieties over local fields.Invent. Math. 124, 129-174 (1996). Zbl 0858.11032, MR 1369413, 10.1007/s002220050048 |
| Reference:
|
[2] Hyodo O.: Wild ramification in the imperfect residue field case.Adv. Stud. Pure Math., 12, 287-314 (1987). Zbl 0649.12011, MR 0948250 |
| Reference:
|
[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). MR 0550688 |
| Reference:
|
[4] Kato K.: Swan conductors for characters of degree one in the imperfect residue field case.Contemporary Math. 83, 101-131 (1989). Zbl 0716.12006, MR 0991978, 10.1090/conm/083/991978 |
| Reference:
|
[5] McCallum W.: Tate duality and wild ramification.Math. Ann. 288, 553-558 (1990). Zbl 0767.11057, MR 1081262, 10.1007/BF01444549 |
| Reference:
|
[6] Serre J.P.: Corps locaux.Hermann (1962). Zbl 0137.02601, MR 0354618 |
| Reference:
|
[7] Tate J.: WC-groups over p-adic fields.Seminaire Bourbaki, 156 13p (1957). MR 0105420 |
| Reference:
|
[8] Yamazaki T.: Reduced norm map of division algebras over complete discrete valuation fields of certain type.Comp. Math. 112, 127-145 (1998). Zbl 0990.11072, MR 1626092, 10.1023/A:1000439025718 |
| Reference:
|
[9] Yamazaki T.: On Swan conductors for Brauer groups of curves over local fields.Proc. Amer. Math. Soc. 127, 1269-1274 (1999). Zbl 0921.14008, MR 1487348, 10.1090/S0002-9939-99-04775-9 |
| Reference:
|
[10] Yamazaki T.: On Tate duality for Jacobian varieties.preprint (2001). Zbl 1049.11129, MR 1968454 |
| . |
