Algebraic Geometry (2026–2027)

Lectures

Some lecture notes (handwritten, in French) are available.

  1. Introduction; Hilbert's Nullstellensatz ()
  2. Spectrum of a ring; presheaves and sheaves ()
  3. The structure sheaf of an affine scheme ()
  4. Schemes ()
  5. Projective spaces ()
  6. Glueing and products ()
  7. First properties of schemes ()
  8. Finiteness properties ()
  9. Quasi-compact and quasi-separated morphisms ()
  10. Open immersions, closed immersions ()
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Evaluation

  1. Homework assignment 1

Bibliography

Algebraic Geometry

Credit is also given to lectures on Algebraic Geometry by François Loeser (1999) and Joseph Oesterlé (2003).

Commutative Algebra

Other topics

Online resources