Best books to learn Algebraic geometry, in order

Reading paths for algebraic geometry

Best Books to Learn Algebraic Geometry, in Order

Beginner14books116 hrs5 stages

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Popular algebraic geometry books

Using algebraic geometryDavid A. Cox · 1998

Commutative algebra with a view toward algebraic geometryDavid Eisenbud · 1995

Algebraic geometryHarris, Joe · 1992

The geometry of schemesDavid Eisenbud · 2000

Undergraduate algebraic geometryMiles Reid · 1988

Algebraic curves and Riemann surfacesRick Miranda · 1995

Related reading

• How to Learn Algebraic Geometry from Books, in Order
• Algebraic Topology Books, in the Order a Graduate Course Would Assign Them

Frequently asked questions

How should I approach learning algebraic geometry?

Algebraic geometry has the worst reputation-to-accessibility ratio in mathematics, mostly because people are pointed straight at Hartshorne and discover that Chapter II assumes a commutative algebra course they have not taken.

What's a good book to start algebraic geometry with?

A strong starting point is Using algebraic geometry by David A. Cox. The ordered reading paths above show exactly where it fits and what to read next.

What should I read after algebraic geometry?

Once you have the fundamentals, explore closely related subjects like Algebraic topology.

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