Timeline for How to measure how much a rational function/a singularity of variety is complicated?
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| Dec 1, 2019 at 19:57 | comment | added | user108998 | I should mention that there is a pretty massive theory of vanishing cycles, which can be a bit formidable. See papers of Sabbah for an intro. A way I really like to measure singularities is in terms of the twisted de rham complex, ie you take forms and the differential d+df (for a function f) | |
| Dec 1, 2019 at 19:53 | comment | added | user108998 | Motivic zeta functions are another example. You look at the varieties X(k[t]/t^n), aka truncated arc spaces, and see how these vary with n. I believe this goes back to Nash. See numerous papers of Denef and Loeser for (many!) results, relations to vanishing cycles etc | |
| Dec 1, 2019 at 14:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Aug 3, 2019 at 13:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 4, 2019 at 12:01 | answer | added | Maurizio Moreschi | timeline score: 1 | |
| Jul 4, 2019 at 9:05 | review | First posts | |||
| Jul 4, 2019 at 12:12 | |||||
| Jul 4, 2019 at 9:03 | history | asked | P. Grabowski | CC BY-SA 4.0 |