Is Serre - Local algebra a good reference for an algebraic geometer?

Asked Dec 08 '13 at 10:47

Active Dec 08 '13 at 10:47

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Of course the question "what is a good commutative algebra book for an algebraic geometer" has been asked before, see A good commutative algebra book and Reference request: introduction to commutative algebra for example.

Learning recently about intersection multiplicity of varieties and multiplicity of a singular point of a variety, i was led into thinking Serre - Local algebra might be a good buy. However, it is almost never mentioned in answers to the questions asked before.

So my question now is: is it a good idea to buy Serre's book if one wants to use it for algebraic geometry? Are there algebraic geometers here that have found it useful to have, in addition to more standard commutative algebra books?

Thanks!

edited Apr 13 '17 at 12:21

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asked Dec 08 '13 at 10:47

Joachim

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I never read this book, but in general I can say Serre is a great writer. – Abramo Dec 08 '13 at 11:03
@Abramo Yes i agree and that's also a reason for me to consider his book. – Joachim Dec 08 '13 at 20:26

Is Serre - Local algebra a good reference for an algebraic geometer?

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