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Nov 3, 2010 at 15:22 comment added Pete L. Clark @Alfonz: it seems to me that you are not missing anything and that the formulas should contain $L^{-1}$ as you suggest. Let's wait 24 or hours or so to see if anyone feels differently, then I, Rebecca Bellovin, or some other high rep user can edit the answer accordingly.
Nov 3, 2010 at 0:06 comment added Alfonz Hi, I don't understand why in the second term it is $\dim H^0(X,L\otimes \Lambda^{0,1})$ and not $L^{-1}$ with the rest being the same. I suspect this is due to something that I am not recognizing, and it is probably completely trivial, but I would appreciate if someone could enlighten me.
Dec 4, 2009 at 7:53 comment added Rebecca Bellovin A lot is brushed under the rug, like carrying out all of these steps on more than a formal level. Also, things like metrics on line bundles are hidden in the definition of the adjoint and the defintion of c_1.
Dec 4, 2009 at 5:32 vote accept Csar Lozano Huerta
Dec 4, 2009 at 5:31 comment added Csar Lozano Huerta that was great! Thks!
Dec 3, 2009 at 20:11 history answered Rebecca Bellovin CC BY-SA 2.5