Hartshorne's Algebraic Geometry

These are some solutions to Hartshorne’s Algebraic Geometry I’ve put together over my time studying AG. I will probably be focusing most of my efforts on Section V: Surfaces for now, because that’s vaguely the topic of my honors thesis; however, I plan to do other exercises as I

As with all my work, these are provided without any guarentee of their accuracy. Please direct thoughts and comments to this issue tracker.

• Section I: Varieties

  Exercises from Section I of Hartshorne’s Algebraic Geometry, on varieties.
• Section II: Schemes

  Exercises from Section II of Hartshorne’s Algebraic Geometry, on schemes.
• Section III: Cohomology

  Exercises from Section III of Hartshorne’s Algebraic Geometry, on Cohomology.
• Section IV: Curves

  Exercises from Section IV of Hartshorne’s Algebraic Geometry, on curves.
• Section V: Surfaces

  Exercises from Section V of Hartshorne’s Algebraic Geometry, on surfaces.

  • Chapter 1: Intersection Theory on Surfaces

    Exercises from Section V, Chapter 1 of Hartshorne’s Algebraic Geometry; Intersection Theory on Surfaces. Surfaces are nonsingular and projective. Curves are effective divisors on surfaces.