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Course Info

Instructor:
  • Prof. Kiran Kedlaya
Course Number:
  • 18.726
Departments:
  • Mathematics
As Taught In: Spring 2009
Level: Graduate

Topics

  • Mathematics
    Algebra and Number Theory
    Topology and Geometry

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
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Course Info
Algebraic Geometry
  • Syllabus

  • Lecture Notes

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  • Student Q&A

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Assignments

Problem Set 1

Problem Set 10

Problem Set 11

Problem Set 12

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Problem Set 7

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Lecture Notes

Category theory

Cohen-Macaulay schemes and Serre duality

Cohomology of projective space

Cohomology of quasicoherent sheaves

Differentials

Divisors on curves and Riemann-Roch

Divisors, linear systems, and projective embeddings

Dualizing sheaves and Riemann-Roch

Étale cohomology

Flat morphisms and descent

See all arrow_forward

Course Info

Instructor:
  • Prof. Kiran Kedlaya
Course Number:
  • 18.726
Departments:
  • Mathematics
As Taught In: Spring 2009
Level: Graduate

Topics

  • Mathematics
    Algebra and Number Theory
    Topology and Geometry

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
MIT Open Learning
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