Time and Place : TuTh 1:15- 2:35; Zoom Meeting
Instructor : Radu Laza
Email : radu.laza@stonybrook.eduOffice Hours: Thr 2:30-4 (same link as the class), Tue 11-12:30
Textbook
Week | Topic | References |
(1) Feb 4 | What is algebraic geometry? (Overview and some examples) |
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(2) Feb 9, 11 | Overview Projective Space |
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(3) Feb 16, 18 | Projective space (coordinates, Why CP^n?) | |
(4) Feb 23, 25 | Degree, Linear Transformations, Bezout Theorem | |
(5) Mar 2, 4 | Conics (Normal form, Parameterization) | [Reid] I.1 |
(6) Mar 9, 11 | Cubics | [Reid] I.2 |
(7) Mar 16, 18 | Affine varieties, Nullstellensatz | [Reid] II.3 |
(8) Mar 23, 25 | The coordinate ring | [Reid] II.4 |
(9) Mar 30, Apr 1 | Smoothness, Dimension | [Reid] III.6 |
(10) Apr 6, 8 | Blow-up, Birational Equivalances, Cremona transformation | [Reid] III.5 |
(11) Mar 30, Apr 1 | Cubic surfaces | [Reid] III.7 |
(12) Apr 20, 22 | Presentations & Discussion (1) | |
(13) Apr 27, 29 | Presentations & Discussion (2) | |
(14) May 4, 6 | Presentations & Discussion (3) |