MATH 214A

Introduction to Algebraic Geometry

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

Open the requisite map View official UCLA course listing ↗Find on Bruinwalk ↗

Affine and projective varieties. Irreducibility, dimension, singular and smooth points. Rational maps, curves, intersections in projective space. Schemes. Proper and finite morphisms. Coherent and quasi-coherent sheaves. Divisors, line bundles, ampleness.

S/U or letter grading.

Requisites

Official UCLA wording
Requisite: course 215A (or 210A, 210B, and 210C with consent of instructor).

BruinTree reads · Prerequisite

needs reviewconfidence 0.55 · from text

one of

MATH 215A
all of
- MATH 210A
- MATH 210B
- consent of instructor

· parenthetical alternative "(or 210A, 210B, and 210C with consent of instructor)" in "course 215A (or 210A, 210B, and 210C with consent of instructor)" — scope is a best reading

Requires

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

MATH 214A

MATH 210AAlgebra
- MATH 110AAlgebra
  - MATH 115ALinear Algebra1 more beneath
- MATH 110BAlgebra
  - MATH 110AAlgebraanother path to it

Unlocks

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

MATH 214A

MATH 214BIntroduction to Algebraic Geometry

1 course lists this as a requisite. The whole downstream is here — 1 course over 1 level. Every course here opens its own tree.