Timeline for Intersection complex of genus-zero curves?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3 at 21:25 | answer | added | Dan Petersen | timeline score: 4 | |
| Mar 3 at 15:07 | comment | added | Leo Herr | Yes, Kock and Vainsencher Remark 1.4.3 say it's not even the blowup at the loci where the sections agree (which is not smooth). I haven't figured out precisely how to state it cleanly yet. Certainly M0n is not toric, but L_n is. | |
| Mar 2 at 21:09 | comment | added | Jason Starr | Actually it is more complicated than the blowup of the diagonal. You need to blow up some additional loci related to the other marked point as well. | |
| Mar 2 at 20:49 | comment | added | Jason Starr | Hello Leo. Your coauthor is correct. Also, definitely $\overline{M}_{0,n}$ is not toric. In fact, it is not even a Mori dream space, I.e., the Cox ring is not finitely generated. | |
| Mar 2 at 16:53 | comment | added | Tom Copeland | Related to mathoverflow.net/questions/181284/… . | |
| Mar 2 at 7:09 | comment | added | Tom Copeland | Multiplicative inversion (MI) is related to the set of refined f-polynomials of the permutahedra $[P]$ of OEIS A133314, refined A019538; and the set $[L]$ of compositional inversion (CI) polynomials of Lagrange of A134685, refined A134991, is related to $\bar M_{0, n} $. The refined h-polynomials of the permutahedra are the refined Eulerian polynomials of $[E]$ of A145271, refined A008292. CI and MI of e.g.f.s are related via an iterated Lie derivative / vector and by the polynomial-for-indeterminate substitutions $[L] = [E][P] $. Do you have refs on related constructs in algebraic geometry? | |
| Feb 29 at 18:21 | comment | added | Vladimir Dotsenko | Are you aware of the De Concini-Procesi construction (sort of the same as Kapranov but more general - in the context of "wonderful compactifications" and in a sense more explicitly traced in many places in the literature)? | |
| Feb 29 at 17:37 | history | asked | Leo Herr | CC BY-SA 4.0 |