Timeline for on chern classes and Riemann Roch theorem for torsion-free sheaves on singular (possibly multiple) curve
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 31, 2009 at 7:22 | vote | accept | Dmitry Kerner | ||
| Dec 31, 2009 at 7:22 | |||||
| Dec 30, 2009 at 18:22 | comment | added | Hailong Dao | Probably not in general. I think codimension 1 is the best one can hope for. | |
| Dec 30, 2009 at 17:37 | comment | added | Tony Pantev | Oh, I see - we are after a formula with values in the integral Chow ring. I knew I was missing something! Is there any reason to believe that such a formula exists? | |
| Dec 30, 2009 at 17:25 | comment | added | Hailong Dao | Also, if I am not mistaken, using localized Chern chacracter works only after tensoring with $\mathh Q$. In low codimension one could get a map with integral coefficients. | |
| Dec 30, 2009 at 17:16 | comment | added | Hailong Dao | You are certainly right, but I thought the OP asked for some direct definition, like what Hartshorne did. The paper I quoted is an attempt to understand Grothendieck-Riemann-Roch at a simple level. | |
| Dec 30, 2009 at 17:08 | history | answered | Tony Pantev | CC BY-SA 2.5 |