Timeline for Logarithmic differentials
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Oct 29, 2010 at 8:26 | comment | added | Sebastian Petersen | Oh, :-), I should have guessed by myself that these are tangent sheafs. Probably I did not see it, because I never saw expressions of the form $T_B(-log(S))$ before. I shall now try again to understand with the help of your hints. | |
| Oct 27, 2010 at 13:29 | comment | added | Francesco Polizzi | $T_B$ is the tangent sheaf, that is the dual of $\Omega_B$. This is standard notation, see for instance Hartshorne p. 180. It seems to me that the map $g$ must be non-constant since otherwise the map $P^* \Omega_X \to \Omega_B$ would be zero, but I had no time to read the paper carefully... | |
| Oct 27, 2010 at 11:52 | comment | added | Sebastian Petersen | Thanks for the answer to my main question! I will try to understand this. Can you give me a hint what $T_S$ (resp. $T_B(-S)$, $T_B(-\log(S))$) is? Do you maybe also see why the map g in the proof of Kim should be non-constant? | |
| Oct 27, 2010 at 11:42 | history | answered | Francesco Polizzi | CC BY-SA 2.5 |