Timeline for Cohomology and base change for the structure sheaf along a smooth proper morphism
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Mar 8 at 17:29 | comment | added | Jason Starr | I see. The OP listed different statements in the post as (2). Thank you for clarifying. | |
Mar 8 at 1:01 | comment | added | afh | @Jason Starr I am referring to (2) in the questions (at the end of the post). The claim is that $R^0f_*(\mathcal{O}_X)$ is locally free and its formation commutes with base-change. | |
Mar 7 at 17:20 | comment | added | Jason Starr | I am not certain what you are claiming about (2). Clearly (2) fails in mixed characteristic and positive characteristic because of supersingular Enriques surfaces (among many other such smooth projective schemes). | |
Mar 7 at 0:07 | vote | accept | Ben C | ||
Mar 6 at 22:57 | history | answered | afh | CC BY-SA 4.0 |