Timeline for What techniques are available for constructing D-modules over smooth projective varieties?
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Aug 8, 2016 at 13:28 | comment | added | Axel Stäbler | The standard references are probably Brodmann&Sharp or Hartshorne's local cohomology lecture notes. Both are probably not suited for undergraduates. | |
| Aug 8, 2016 at 13:28 | comment | added | Axel Stäbler | Eisenbud's Geometry of Syzygies has a short appendix on local cohomology that may give you a good feel for what's going on. If you know some basic dimension theory then ``24 hours of local cohomology'' is a decent source if you are willing to take certain things for granted or delve into the literature to solve some of the harder exercises. In fact, I ran a seminar based on this not too long ago with students that had taken a second course in algebra. The material covered in Bruns&Herzog's Cohen-Macaulay rings is also very well presented (but they do not cover as much as other sources). | |
| Aug 3, 2016 at 17:13 | comment | added | 54321user | @AxelStäbler Do you know of any nice introductions to local cohomology accessible to undergraduates? | |
| Jul 25, 2016 at 18:48 | comment | added | David Treumann | You might find Vilonen's thesis useful, available here: gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002101815 | |
| Jul 25, 2016 at 6:41 | comment | added | Axel Stäbler | If $M$ is a $D$-module (e.g. $M = R$ a ring) then the local cohomology modules $H_I^j(M)$ are $D_R$-modules. This should give you some examples I guess. | |
| Jul 25, 2016 at 2:40 | comment | added | Avi Steiner | For smooth toric varieties (e.g. complex affine and projective space), you might want to take a look at sciencedirect.com/science/article/pii/S0021869301987319 | |
| Jul 25, 2016 at 0:02 | history | asked | 54321user | CC BY-SA 3.0 |