Just saw a "blue screen" in Windows 10. I wanted to google the error message but the moment I reached the phone to take a photo - computer rebooted.
Can I find this error message somewhere in the logs?
Yes, it's recorded in the Event Log. I quote the bsod tag wiki:
If you didn't catch the BSOD display, information about the crash can be found in in System event log (viewable in the Event Viewer,
eventvwr.msc). Error events from the
BugChecksource contain the bugcheck code, the parameters, and the path to the dump file on the General tab. Critical events from the
Kernel-Powersource contain the code and parameters in the
EventDatasection of the Details tab.
For a list of all possible BSOD errors and their descriptions, see the Bug Check Code Reference.
Once you get the numeric bugcheck code as a hexadecimal number, you can consult that reference to find its symbolic name.