I wasn't able to get the .NET Core SDK to run in globalization invariant mode with Alpine.
See https://github.com/dotnet/dotnet-docker-nightly/pull/508
To repro, remove the last three lines of the Dockerfile.
Sample you can use for testing is at https://github.com/dotnet/dotnet-docker-samples/tree/alpine/dotnetapp-prod
This is going to be fun to investigate.
This issue may not be specific to Alpine. That may or may not be clear. Alpine is just the place I found it.
Duplicate of https://github.com/dotnet/corefx/issues/28021
This should be fixed now (see corefx duplicate).
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This is going to be fun to investigate.