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The section "Motivation" appears to be incorrect in several ways: for example, Chern classes should be constant in flat families, and $c_2$ can't be nonzero for a bundle over P^1. For now I have flagged it, but it would be good to replace this with a correct motivation. 2001:630:301:F00E:A9D5:9C04:5F2D:CEDE (talk) 13:57, 28 July 2025 (UTC)[reply]

You are assuming this discussion is supposed to be about a flat family, which it is not. The whole point is to illustrate the need for various hypotheses, like stability (or even flat families in the first place) 73.95.249.118 (talk) 21:19, 28 September 2025 (UTC)[reply]