# Errata for Shafarevich's Basic Algebraic Geometry?

Is there a good errata for Shafarevich's Basic Algebraic Geometry? I don't seem to be able to find one through google.

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Don't know of any (is the error rate so high that it's not better to simply read the book and deal with errors as one finds them?), but here's an interesting error: in the proof of existence of enough translation-invariant 1-forms on a group variety $G$ over an alg. closed field, the argument implicitly uses the false fact that the Zariski topology on $G \times G$ is the product topology. Look in "Neron Models" for an elegant rather different (and correct) method of proof of this result (which applies more widely too). –  BCnrd Nov 10 '10 at 15:50
In I.6.3, the corollary to theorem 7 is false. The correct version is either stated on the source or restricted to proper maps. This error is used in II.1.4 where the set of singular points is argued to be closed. That can be fixed by using the projective closure of the tangent spaces to get a proper projection map. In IV.1.1. the formula for intersection number seems wrong. In II.5.3 the proof of normalization of curves seems lacunary. In III.2.2, lemma, the point x must be smooth. etc....in spite of missing hypotheses, arguments, this book is excellent and the proofs can be fixed. –  roy smith Nov 10 '10 at 16:31
This kind of question is reasonable and comes up periodically on MO, but ideally there would be a more dedicated place to store information on errata for books. As it is, this discussion will very soon be lost in the vast archives out of sight. Apart from that, it's always wise to specify the edition or printing in question. Publishers used to do multiple printings, often with corrections added, as well as new editions. (Not so common with today's technology.) Books in translation pose special problems: serious misprints affecting the mathematics tend to get introduced. –  Jim Humphreys Nov 10 '10 at 20:03
Are any of these errors fixed in the recent 3rd edition? –  Marius Kempe Jan 18 at 21:22