On Bloch-Kato's Tamagawa number conjecture for Hecke characters of imaginary quadratic number fields
| dc.creator | Han, Bing | |
| dc.date | 1997-07-29 | |
| dc.date.accessioned | 2026-07-07T09:15:48Z | |
| dc.date.available | 2026-07-07T09:15:48Z | |
| dc.description | This is essentially the author's thesis submited to The University of Chicago (May 1997). I prove the validity of Tamagawa number conjecture of Bloch-Kato for certain Hecke characters. I study the exponential map and local Tamagawa number for all odd primes (both ordinary and supersingular), using Kato's explicit reciprocity law for one dimensional Lubin-Tate formal group. I also study p-part of Shafarevich-Tate group for motives associated to Hecke characters, using Rubin's Main Conjecture in Iwasawa theory. Interestingly a congruence property between p-adic periods of elliptic curve and weight 1 Eisenstein series evaluated at torsion CM points play a crucial role in the proof of Bloch-Kato conjecture. | |
| dc.identifier | https://arxiv.org/abs/math/9707236 | |
| dc.identifier | http://arxiv.org/abs/math/9707236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153143 | |
| dc.subject | Number Theory | |
| dc.title | On Bloch-Kato's Tamagawa number conjecture for Hecke characters of imaginary quadratic number fields | |
| dc.type | text |