Timeline for Algebraic Geometry for Topologists
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2016 at 18:13 | comment | added | Greg Friedman | As a topologist, I also found Huybrechts to be very readable (and Differential Analysis on Complex Manifolds by Raymond O. Wells is good background for Huybrechts). On the other hand, I found it to be only one area of algebraic geometry. It didn't, for example, teach me about schemes. So, as others have observed, it depends a bit what yuo want to learn. Algebraic geometry is a large field. | |
| Jul 25, 2016 at 2:33 | comment | added | roy smith | I recommend deep study of basic topics with examples, rather than abstract study of general topics, so I suggest Rick Miranda's book Algebraic Curves and Riemann Surfaces, since this discusses the topic from which modern algebraic geometry began. on the opposite side, with your background maybe serre's annals paper FAC. you won't learn anything about actual algebraic varieties but you will know cohomology. | |
| Jul 23, 2016 at 18:47 | comment | added | Lazzaro Campeotti | @BenMcKay: thanks for the extra information. | |
| Jul 23, 2016 at 9:49 | comment | added | Ben McKay | Huybrechts "Complex Geometry: An Introduction" is similar to Griffiths and Harris, but perhaps closer to algebraic topology, as it discusses Atiyah classes and holonomy groups (if I remember correctly). | |
| Jul 22, 2016 at 12:45 | history | answered | Lazzaro Campeotti | CC BY-SA 3.0 |