MATH 214B

Introduction to Algebraic Geometry

Mathematics · 4 units · Graduate courses (200-299)

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Cohomology of coherent sheaves. Flat morphisms, smooth morphisms. Riemann-Roch theorem for curves. Projective embeddings of curves, elliptic curves, canonical embedding. Introduction to birational geometry in higher dimensions.

S/U or letter grading.

When it runs

Spring 2026
Spring 2027

Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.

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Requisites

Official UCLA wording
Requisite: course 214A.

BruinTree reads · Prerequisite

confidence 1.00 · from text

MATH 214A

Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 214B

MATH 214AIntroduction to Algebraic Geometry
- MATH 210AAlgebra
  - MATH 110AAlgebra1 more beneath
  - MATH 110BAlgebra1 more beneath
  - MATH 110CAlgebra
- MATH 210BAlgebra
  - MATH 110AAlgebraanother path to it

1 direct requisite. Showing 11 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.

Unlocks

What this course is a requisite for, and what those courses lead to in turn.

No course in the catalog lists this as a requisite.