MAT 589 (Intro to Algebraic Geometry) - Spring 2019
Time and Place : TuTh 11:30-12:50; Math 4-130
Instructor : Radu Laza
Office : Math Tower 4-120/121
Email : radu.laza@stonybrook.edu
Office Hours: Thr 1-2:30pm
Overview
This is an introduction to Algebraic Geometry (graduate level). It assumes some familiarity with Commutative Algebra.
References
- [H] R. Hartshorne, Algebraic Geometry, Springer
- [MO] D. Mumford and T. Oda, Algebraic Geometry II,
- [Sh] I. Shafarevich, Basic Algebraic Geometry
Announcements
- Welcome!
- Our main reference will [H] Hartshorne, but we will be using some additional/alternative material. Please check the website for updates on the schedule of classes (and the relevant material)
- There will be several HW assignments (expect one every other week). To be turned in during the class.
Schedule
| Week | Topic | Assignment |
| (1) Jan 29, 31 |
Affine varieties, Morphisms
[H] 1.1, 1.3
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| (2) Feb 5, 7 |
Projective Varieties, Rational Maps
[H] 1.2, 1.4 |
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| (3) Feb 12, 14 |
Nonsingular varieties, Intersection in Projective Space
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| (4) Feb 19, 21 |
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| (5) Feb 26, 28 |
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| (6) Mar 5, 7 |
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| (7) Mar 12, 14 |
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| (8) Mar 26, 28 |
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| (9) Apr 2, 4 |
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| (10) Apr 9, 11 |
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| (11) Apr 16, 18 |
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| (12) Apr 23, 25 |
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| (13) Apr 30, May 2
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| (14) May 7, 9 |
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