Timeline for Hartshorne's Conjectures about Algebraic Bundles?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 21, 2017 at 4:23 | history | edited | R. van Dobben de Bruyn | CC BY-SA 3.0 |
Formatted citation
|
| Dec 21, 2017 at 1:52 | comment | added | Mohan | Yes, some of the moduli questions are understood. Most others are not known. | |
| Dec 21, 2017 at 1:48 | comment | added | user100272 | Problems four, six, and eight specifically. | |
| Dec 21, 2017 at 1:07 | comment | added | Mohan | The first few problems in the list are still open. We still do not know whether there are indecomposable rank 2 vector bundles on projective space of dimension at least 5. They exist in positive characteristic. The proof of Grauert and Schneider which he quotes (published in Inventiones) is generally believed to be wrong, so that too is open. In other words, are there unstable bundles of rank 2 in $\mathbb{P}^5$? Which ones do you think are true among those problems? | |
| Dec 21, 2017 at 0:21 | history | asked | user100272 | CC BY-SA 3.0 |