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Feb 9, 2018 at 17:13 comment added Sándor Kovács Good job on correcting the spelling! ;-)
Feb 8, 2018 at 22:07 history edited Mitchell Faulk CC BY-SA 3.0
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Feb 7, 2018 at 15:25 vote accept Mitchell Faulk
Feb 7, 2018 at 8:34 answer added Sándor Kovács timeline score: 5
Feb 7, 2018 at 1:01 comment added Mitchell Faulk Thanks, Remy. For my purposes I'd really like to take $Y$ to be singular, and let $X$ be a partial resolution of the singularities of $Y$, so that in particular, $f$ is a birational map, but $X$ may still admit singularities itself.
Feb 7, 2018 at 0:47 comment added R. van Dobben de Bruyn There are definitely situations where the vanishing still holds if $X$ and $Y$ are not smooth. An easy example is when $f$ is flat. But maybe you are interested only in assumptions on $X$ that make this true for every $f \colon X \to Y$ with $Y$ smooth projective (say)?
Feb 6, 2018 at 17:37 review First posts
Feb 6, 2018 at 17:53
Feb 6, 2018 at 17:34 history asked Mitchell Faulk CC BY-SA 3.0