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A good classical book is Walker, Algebraic curves, Princeton, I can recommend it. Rick Miranda's Algebraic Curves and Riemann Surfaces is a great place to look for a more complex analytic point of view.
I think it starts from very little and only asks you know a bit of complex analysis. See here for a review of this book by Gunning. The treatment of technical material is perhaps a bit brief, but it provides marvelous intuition as well as a coherent picture as to how everything fits together.
Finally, Miles Reid's Undergraduate Algebraic Geometry , again although somewhat informal, is simply a fascinating read, if nothing other than for the Woffle that begins the book. Keith Kendig's A guide to plane algebraic curves is quite elementary and readable.
Another beginner-friendly book is P. Griffiths, Introduction to algebraic curves. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Asked 3 years, 6 months ago. Active 1 year, 6 months ago. Viewed 2k times. Martin Sleziak 4, 3 3 gold badges 25 25 silver badges 35 35 bronze badges. Chris Chris 6 6 bronze badges.
Could you suggest me something else? Thank you. If you don't have that background, you would be better off to learn some linear algebra and some several variable calculus first before trying to learn about algebraic curves. Clemens: A scrapbook of complex curve theory.
Active Oldest Votes. Both books a small and elementary, ideal for the first introduction. Alexandre Eremenko Alexandre Eremenko Beginning from Chap V, section 2. Walker looks great, but I can't use extensions yet.
Try Salmon, A treatise on the higher plane curves, but this can be really hard reading, unlike modern books that I recommended. I had a look in these books and I will prefer the mordern books which do not use too much extensions. I think the best for my case is Gibson's. Something else in Gibson's spirit? Thank you very much for your time. Martin Peters Martin Peters 1, 9 9 silver badges 11 11 bronze badges. As far as I saw this book, it was well written and clear. Raymond Cheng Raymond Cheng 1 1 gold badge 3 3 silver badges 7 7 bronze badges.
I ll have a look! This book is really useful! Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Featured on Meta. What posts should be escalated to staff using [status-review], and how do I…. We're switching to CommonMark.
Complex Algebraic Curves
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