Timeline for Analogues of the Riemann-Roch Theorem
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 17, 2017 at 21:46 | comment | added | Watson | Related on MSE: math.stackexchange.com/questions/518031 | |
| Apr 17, 2012 at 19:06 | vote | accept | Larry Rolen | ||
| Apr 16, 2012 at 8:01 | answer | added | Marc Palm | timeline score: 6 | |
| Apr 16, 2012 at 7:45 | answer | added | Charles Matthews | timeline score: 3 | |
| Apr 16, 2012 at 3:00 | comment | added | Filippo Alberto Edoardo | May be you ca also give a look at Chapter 3 in Neukirch's book "Algebraic Number Theory" | |
| Apr 16, 2012 at 1:57 | comment | added | B R | Minor correction: the point $a$ depends on $D$, the function does not. | |
| Apr 16, 2012 at 1:14 | comment | added | B R | Larry, Section 7.2 of Ramakrishnan and Valenza's "Fourier Analysis on Number Fields" answers precisely this question (as Theorem 7.12). Basically, when $k$ is a function field, applying Poisson summation to a certain $f$ (depending on a divisor $D$) gives the Riemann-Roch formula, in that the RHS is $q^{l(D)}$ and the LHS is $q^{l({\cal K}-D)+{\rm deg}(D)-g+1}$. | |
| Apr 16, 2012 at 0:30 | history | asked | Larry Rolen | CC BY-SA 3.0 |