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@C00 Functorial resolutions by infinite-dimensional vector bundles, yes. It will be not just direct sums, but transfinitely iterated extensions of your original generating vector bundles.
@varkor I put the files of Ulmer's preprint on my homepage at math.cas.cz/~positselski (rubric "Old manuscript file share"). Please let me know if you have any problem downloading them.
@varkor Yes, I have a copy I got from Rosicky yesterday. It is a bit bulky (four .zip files, several megabytes each). If you are not in a hurry, I will post the files on my homepage when I come to my office, and give the link here.
