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Jun 17, 2010 at 17:58 vote accept Georges Elencwajg
Jun 17, 2010 at 4:08 history edited Torsten Ekedahl CC BY-SA 2.5
Added elaboration
Jun 16, 2010 at 19:51 comment added Georges Elencwajg Dear Torsten, thank you very much for the reference. The article "proves,corrects and extends" results of a note by the author published in 1961 (!), which tends to confirm the feelings I expressed at the end of my question. However because of the numerous cross-references and the general structure of the paper I could not locate a counter-example to the first equality, nor the assertion that the answer is almost always no. Needless to say, that didn't prevent me from upvoting you !
Jun 16, 2010 at 19:45 comment added Tom Goodwillie The point is that infinite product of sheaves does not preserve exact sequences, right?
Jun 16, 2010 at 16:49 comment added Allen Knutson The answer to the last question ("Would you please write a book on the subject?") is almost always no, too!
Jun 16, 2010 at 15:29 history answered Torsten Ekedahl CC BY-SA 2.5