I'm looking for an introductory book on varieties and smooth algebraic curves. I know there are many such books, but most are too advanced and/or have the material in middle chapters built upon various previous chapters. I just want learn the basics of affine and projective varieties and algebraic curves (e.g. proof of Riemann-Roch). My aim is to learn this to get by for studying elliptic curves before I learn algebraic geometry properly. I'd also like you to point out if this plan is ill-advised.
2026-03-25 01:16:31.1774401391
An introductory book on varieties and smooth algebraic curves?
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I found Kirwan's "Complex Algebraic Curves" to be quite good entry level material.