Timeline for Dirichlet's regulator vs Beilinson's regulator
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 6, 2011 at 23:48 | answer | added | user10849 | timeline score: 2 | |
| Aug 7, 2010 at 15:05 | comment | added | Andreas Holmstrom | Hi Robin, sure, both the Beilinson regulator and the Dirichlet regulator are defined on $K_1(O_F)$, but the former is defined in terms of Gillet's general theory of Chern classes, and the latter in terms of the explicit logarithm formula found in any algebraic number theory textbook, and the question is if both definitions agree, or if they differ by some constant factor. | |
| Aug 7, 2010 at 6:29 | comment | added | Robin Chapman | By the Bass-Milnor-Serre theorem, $K_1(O_F)=O_F^*$; so the logarithmic embedding of $O_F^*$/(roots of unity in $F$) can be seen as a $K$-theory regulator map, generalized by Beilinson and Borel. | |
| Aug 6, 2010 at 22:35 | history | asked | Andreas Holmstrom | CC BY-SA 2.5 |