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Algebraic Geometry >> Content Detail



Lecture Notes



Lecture Notes

The lecture notes are courtesy Moses Liskov, a student in the class. Used with permission.

LEC #TOPICS
1Introduction (PDF)

First Goal
2Recap of Last Time (PDF)

Irreducible Components

Projective Space
3Projective Space (cont.) (PDF)
4Projective Space (cont.) (PDF)

Topological Diversion

Sheaves
5Presheaves (PDF)

Back to Algebraic Geometry
6Review of things not covered enough (Topics: Fibers, Morphisms of Sheaves) (PDF)

Back to Work

Morphisms

Varieties
7Homework Review (PDF)

Back to Varieties
8Projective Varieties (PDF)
9A Review on Projective Varieties (PDF)

Product of Varieties
10Applications (PDF)
11Recap on the Applications (PDF)

Next Definition of Variety

Dimension
12Homework 5 Problem (PDF)

Dimension

Future Applications
13Back to Dimension (PDF)

Krull Dimension
14Fibers of Morphisms (PDF)
15Fiber Products (PDF)

Back to the Theorem

Complete Varities
16Completeness (PDF)

Complex Topology
17Chow's Lemma (PDF)

Analytic Spaces
18Curves (PDF)
19What is Next? (PDF)

How to Study Curves

 








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