Timeline for How can one compute the canonical class of the projective completion of the tautological bundle over $P^1\times P^1$?

9 events

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Aug 24, 2011 at 19:16	history	edited	Michael Thaddeus	CC BY-SA 3.0	more typos
Aug 24, 2011 at 16:45	comment	added	Michael Thaddeus		It's not, except to describe the ring in which the expression for $k_{PE}$ lies. Since this is in $H^2$, I could have simply said that $H^2(PE,Z)$ is the abelian group freely generated by $H^2(B,Z)$ and $h$. I take your point. Anyway, the expression for $K_{PE}$ is what really matters, and for that, of course, none of this is necessary.
Aug 24, 2011 at 15:05	comment	added	Damian Rössler		@Michael Thaddeus. Where is the Leray-Hirsch theorem actually used here ? Your computation from the second paragraph onwards gives the canonical class, but where do you need the structure of the cohomology of a projectivized bundle ? (other than for fixing ideas)
Aug 24, 2011 at 1:03	history	edited	Michael Thaddeus	CC BY-SA 3.0	deleted 21 characters in body
Aug 23, 2011 at 23:46	comment	added	Dhruv		Thats exactly what I was looking for. Thank you.
Aug 23, 2011 at 23:18	history	edited	Michael Thaddeus	CC BY-SA 3.0	added 184 characters in body
Aug 23, 2011 at 23:17	vote	accept	Dhruv
Aug 23, 2011 at 23:17	vote	accept	Dhruv
Aug 23, 2011 at 23:17
Aug 23, 2011 at 23:12	history	answered	Michael Thaddeus	CC BY-SA 3.0