Scheme Theory -- Spring 2018

Emory University

 Lecture Room: E408 MSC Lecture Time: TuTh 10-11:15 Final Exam: TBA Lecturer: David Zureick-Brown Office: W430 MSC Phone: (608) 616-0153 Email: dzb@mathcs.emory.edu Office Hours: by appointment (in W430)

Textbook

We will use Vakil's Foundations of Algebraic Geometry. For consistency, I will teach from the November 18, 2017 version.
Syllabus

We will cover a large subset of chapters 1-19 of Vakil's Foundations of Algebraic Geometry
Homework

Assignments can be found here.
Other references

Commutative algebra
Algebraic Geometry
• Algebraic Geometry by Robin Hartshorne
• Joe Harris and David Eisenbud - "Geometry of Schemes" (introductory text on schemes, not a complete course on algebraic geometry, rather a text which tries to develop reader's intuition for studying schemes)
• David Mumford and Tadao Oda - "Algebraic Geometry II" (expanded and updated version of Mumford's famous "Red book", seems neat and friendly)
• Liu Qing - "Algebraic Geometry and Arithmetic Curves" (arithmetically flavoured text)
• Alexander Grothendieck and Jean Dieudonne - "Elements of Algebraic Geometry" (the first "book" on algebraic geometry, very abstract and complete, 1800 pages-long, but exists only in French and possibly contains more than an beginner needs to know. But, maybe, even if all 1800 pages are not needed to learn scheme theory, they can be helpful to master it)
• Kenji Ueno - "Algebraic Geometry 1/2/3" (was published in 1999 by AMS, but apparently not well known by western community as well as by me)
• Shafarevich - "Basic Algebraic Geometry 1/2" (full of great examples and intuition)