Basic algebraic geometryIgor' Rostislavich Shafarevich
Basic algebraic geometry
by Igor' Rostislavich Shafarevich
3mentions
2recommended by
2HN commenters
2011–2025first – last mentioned
100% recommend
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My favourites would be: - anything written by Serre, - Shafarevich's Basic Algebraic Geometry, - Silverman's The Artihmetic of Elliptic Curves, - Milne's notes (available at http://jmilne.org).
on “Great Math Books as Recommended by Our Readers” ↗My favorite intros to algebraic geometry are these: Igor R. Shafarevich, Basic Algebraic Geometry, two volumes, third edition, Springer, 2013. Phillip Griffiths and Joseph Harris, Principles of Algebraic Geometry, 1994. (Especially nice if you like complex analysis, differential geometry and de Rham…
on “How I Learned to Love Algebraic Geometry” ↗…examples. Maybe start with * Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen and William Traves, An Invitation to Algebraic Geometry, Springer, Berlin, 2004. and then this: * Igor R. Shafarevich, Basic Algebraic Geometry, two volumes, third edition, Springer, 2013.
on “A Homological Proof of P != NP: Computational Topology via Categorical Framework” ↗