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Jun 21, 2022 at 9:55 comment added The Amplitwist The link to eom.springer.de is broken. The article can now be found here: Künneth formula - Encyclopedia of Mathematics.
Nov 16, 2009 at 16:18 comment added Wayne Thank you for pointing out the key point - it definitely helped me. Yes for the theorem of the cube I only need an abstract isomorphism to reduce the argument.
Nov 16, 2009 at 16:11 vote accept Wayne
Nov 16, 2009 at 5:34 comment added Greg Stevenson No worries at all about the fussiness! I edited to try and answer your question in the comment. I hope this helps (in the proof I know nothing is asserted about what the isomorphisms actually are).
Nov 16, 2009 at 5:28 history edited Greg Stevenson CC BY-SA 2.5
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Nov 16, 2009 at 5:03 comment added Wayne Awesome, thank you! I think to make the question more precise, I should add "and $M_1$ is a line bundle on $Y_1$" (please look at line 6-7 in the question.) I do have a small question (and please forgive my fussiness): so we know $M_1^{-1}$ and $p_2{_*}(L_1)$ are isomorphic line bundles, but how do we know that the explicit morphism given in the question is an isomorphism?
Nov 16, 2009 at 4:33 history edited Greg Stevenson CC BY-SA 2.5
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Nov 16, 2009 at 4:25 history edited Greg Stevenson CC BY-SA 2.5
added ref for Kunneth
Nov 16, 2009 at 3:58 history edited Greg Stevenson CC BY-SA 2.5
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Nov 16, 2009 at 3:52 history answered Greg Stevenson CC BY-SA 2.5