Math 130c: Algebraic Geometry

Lectures: MWF 2-2:55pm
Location: Sloan 153
Instructor: Amin Gholampour
Email address: agholamp@caltech.edu
Office: Sloan 258
Office Hour: any time
The course description:
This is a continuation of Math 130b and 130a. We will cover Projective Morphisms, Differentials, Sheaf Cohomology, Flat Morphisms, Smooth Morphims, The Semicontinuity Theorem (if time allows). All of these can be found in the second and the third chapters of Hartshorne (the first reference below). 
*Another possibility is to spend less time on Cohomology and instead cover the basics of Algebraic Curves and Surfaces (e.g. chapters 4 and 5 of Hartshorne).

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Some references:
Algebraic Geometry by Hartshorne
The Geometry of schemes by Eizenbud & Harris
The red book of varieties and schemes by Mumford
Algebraic Geometry by Iitaka
Algebraic Geometry 1, 2, 3 by Ueno
Principles of Algebraic Geometry by Griffiths and Harris
Introduction to commutative algebra by Atiyah & Macdonald
Commutative Algebra by Matsumura
An introduction to homological algebra by Weibel

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Homework:

1st week	HW1
2nd week	HW2
3rd week	HW3
4th week	HW4
5th week	No HW
6th week	HW6
7th week	HW7
8th week	HW8