Timeline for Sheaves of abelian groups over a smooth projective variety
Current License: CC BY-SA 4.0
6 events
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| May 8, 2023 at 8:36 | history | edited | YCor | CC BY-SA 4.0 |
moved meta info from title to tag
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| May 8, 2023 at 5:14 | history | edited | Abel | CC BY-SA 4.0 |
edited title
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| Jul 28, 2022 at 14:31 | comment | added | Nicolas Hemelsoet | For derived categories of coherent sheaves, I'd say one of the best reference is Huybrechts book on Fourier-Mukai transform. Not sure if a coherent reference exists. Divisors and moduli spaces are huge topics. Also this master thesis could be useful for you : maths.mic.ul.ie/kreussler/ciaradalyma.pdf | |
| Jul 28, 2022 at 13:03 | comment | added | Abel | Thanks! The idea is to reach Bridgeland stability conditions on an arbitrary category. Feels like there's a gap. The path looks like: {(Quasi-)Coherent Sheaves} --> {Derived Categories of Coherent Sheaves}. But I'm bogged in between. Also Divisors and Moduli spaces are subjects that I often encounter while trying to understand these topics. But still I couldn't find any reference that covers these topics in a "coherent" fashion (no pun intended). | |
| Jul 28, 2022 at 12:42 | comment | added | Nicolas Hemelsoet | It's a bit unclear what you exactly want to know especially if you already studied sheaf cohomology + basic AG. Do you have a final goal? Anyways, other than Vakil and Hartshorne, I'd say these topics (except slope stability) are well covered in Görtz--Wedhorn. Gathmann's notes are also good and much easier. For slope stability, it's a bit more advanced, I'd suggest Le Potier's book or Mukai "introduction to invariant and moduli". But I would say best way to learn it is through examples, e.g surfaces :-) | |
| Jul 28, 2022 at 12:22 | history | asked | Abel | CC BY-SA 4.0 |