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Dec 18, 2019 at 8:09 comment added Angelo It seems to me that $f_*\mathscr{F}$ is locally free as a $f_*\mathscr{O}_X$-module if and only if $\mathcal F$ is locally free as an $\mathcal O_X$-module.
Dec 18, 2019 at 3:59 comment added naf I don't think you can say much, consider for example the case that $Y$ is the spectrum of a field.
Dec 17, 2019 at 22:35 review First posts
Dec 17, 2019 at 22:46
Dec 17, 2019 at 22:34 history asked G. Gallego CC BY-SA 4.0