I am reading the paper " D. Mumford. Rational equivalence of $0$-cycles on surfaces. J. Math. Kyoto Univ. 9 (1969) 195 - 204" and I do not understand a notation in bottom of page 197. It says: $p^*(\eta_f)=res_{\tilde{S}_0}(\tilde{\omega})$. I am wondering what $res$ mean? Maybe it is well known symbol and I am not realising it right now. I will be grateful for any help to realise it.
1 Answer
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$\tilde{\omega}$ is a differential form on $\tilde{S}$ and $\tilde{S}_{0}$ is an open subscheme of $\tilde{S}$, so it can only mean restriction.