MATH 562
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Introduction to Algebraic Geometry 2.
Mathematics
College of Computational, Mathematical, & Physical Sciences
Course Description
Local properties of quasi-projective varieties. Divisors and differential forms.
When Taught
Winter Odd Yrs..
Min
3
Fixed/Max
3
Fixed
3
Fixed
0
Other Prerequisites
Math 561
Title
Overview
Learning Outcome
Local properties of algebraic varieties
Power series expansions
Properties of nonsingular points
Birational maps
Normal varieties and normalization
Divisors
Differential forms
Title
Learning Outcomes
Learning Outcome
Students should achieve mastery of the topics listed in the minimal learning outcomes section of the Math 562 Wiki page. This means they should know all relevant definitions, correct statements of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts. The students should be able to demonstrate their mastery by solving non-trivial problems related to these concepts, and by proving simple (but non-trivial) theorems about the concepts below, related to, but not identical to, statements proven by the text or instructor.
