Timeline for If $f: X \to Y$ is a finite flat morphism of schemes, $g: Y \to Z$ is a proper morphism of relative dimension one, $Z$ is affine and $E$ is a vector bundle on $Y$ with $R^1g_E=0$ then $H^1(X,f^E)=0$?

12 events

when toggle format	what		by	license	comment
Feb 10, 2012 at 9:47	vote	accept	Yosemite Sam
Feb 10, 2012 at 0:35	answer	added	Sándor Kovács		timeline score: 4
Feb 9, 2012 at 23:08	history	edited	Yosemite Sam	CC BY-SA 3.0	deleted 157 characters in body
Feb 9, 2012 at 14:10	comment	added	Yosemite Sam		sorry I fixed the title: is it still confusing you?
Feb 9, 2012 at 14:09	history	edited	Yosemite Sam	CC BY-SA 3.0	added 1 characters in body; edited title
Feb 9, 2012 at 12:28	comment	added	user2035		Could you please rewrite question and title to make them consistent?
Feb 9, 2012 at 8:28	history	edited	Yosemite Sam	CC BY-SA 3.0	added 277 characters in body
Feb 9, 2012 at 1:23	comment	added	Keerthi Madapusi		Ah, yes. I was willfully misreading the first sentence, it seems!
Feb 9, 2012 at 1:08	answer	added	Piotr Achinger		timeline score: 2
Feb 9, 2012 at 0:46	comment	added	Sándor Kovács		Keerthi, I think the point is, he assumes that higher direct images $R^ig_*=0$ for $i>1$, but not $i=1$, e.g., a family of curves.
Feb 9, 2012 at 0:30	comment	added	Keerthi Madapusi		Do you assume that all higher direct images under $g$ are $0$? I don't understand your question, then.
Feb 8, 2012 at 23:48	history	asked	Yosemite Sam	CC BY-SA 3.0

Timeline for If $f: X \to Y$ is a finite flat morphism of schemes, $g: Y \to Z$ is a proper morphism of relative dimension one, $Z$ is affine and $E$ is a vector bundle on $Y$ with $R^1g_*E=0$ then $H^1(X,f^*E)=0$?