Timeline for Chern class of direct image sheaf
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 1, 2020 at 10:50 | vote | accept | user130022 | ||
| Aug 9, 2019 at 23:10 | answer | added | Jim Bryan | timeline score: 4 | |
| Aug 8, 2019 at 5:08 | comment | added | user130022 | Suppose $E$ is a globally generated line bundle of degree $d$, the elementary transformation $E$ of $H^0(L) \otimes O_S --->i_*L$ has $c_2 = d$. But we have $c_t(i_*L)c_t(E)=1$, which implies $(1 +tC +t^2c_2(L))(1+t(-C) +t^2.d)= 1$, which gives $c_2(L) = C^2-d.$. Please correct me if i am wrong. | |
| Aug 7, 2019 at 15:53 | comment | added | abx | I find $c_2= 3 C^2-\deg(E)$. | |
| Aug 7, 2019 at 13:24 | comment | added | user130022 | yes...i tried to calculate using that...but could not conclude about $c_2$. | |
| Aug 7, 2019 at 12:30 | review | Close votes | |||
| Aug 12, 2019 at 3:05 | |||||
| Aug 7, 2019 at 12:12 | comment | added | abx | Heard of Grothendieck-Riemann-Roch? | |
| Aug 7, 2019 at 11:15 | comment | added | ssx | Fulton, intersection theory, Theorem 15.3. | |
| Aug 7, 2019 at 10:45 | history | asked | user130022 | CC BY-SA 4.0 |