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Aug 20 at 23:39 comment added Sándor Kovács @JKDASF: For any sheaf $\mathcal F$ on $X$, $\mathcal F(l)=\mathcal F\otimes \mathcal O_X(l)$.
Aug 19 at 22:15 comment added JKDASF Hi! Can I have a question, what is $\mathcal I_X(l)$?
Nov 6, 2013 at 4:27 vote accept Hammerhead
Nov 4, 2013 at 7:40 comment added Dan Petersen It's usually called "Serre's vanishing theorem" and can be found in almost any AG textbook, look in Hartshorne or in volume 1 of Lazarsfeld's positivity book.
Nov 4, 2013 at 3:41 comment added Hammerhead Thanks for your answer. As it is quite apparent, I lack serious background in AG. One more small thing, which theorem of Serre are you exactly referring to?
Nov 4, 2013 at 2:55 history answered Sándor Kovács CC BY-SA 3.0