Timeline for Applications of derived categories to "Traditional Algebraic Geometry"
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 23, 2019 at 9:11 | vote | accept | ofiz | ||
| Jan 30, 2019 at 1:15 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Jan 28, 2019 at 19:25 | comment | added | abx | Sure, in mine too. In fact I think the derived category of coherent sheaves has many nice applications to classical geometry (see e.g. Kuznetsov's work). I am not sure about Derived Algebraic Geometry, I'd like to see some interesting answers to the question. | |
| Jan 28, 2019 at 15:18 | comment | added | Francesco Polizzi | I agree. This is intended as an answer to the second part of the question, since "we show how to reconstruct the K3 surface containing the curve C as a Fourier-Mukai transform of a Brill-Noether locus of vector bundles on C" is a pleasant statement expressed by using the derived category of coherent sheaves (at least in my opinion). | |
| Jan 28, 2019 at 14:04 | comment | added | abx | As pointed out by dhy, this is not what is called Derived Algebraic Geometry. | |
| Jan 28, 2019 at 9:52 | history | answered | Francesco Polizzi | CC BY-SA 4.0 |