Timeline for Is stable map space $\overline{M_{0,n}}(\mathbb{P}^n,d)$ is irreducible for all $n,d$?
Current License: CC BY-SA 3.0
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| S Nov 27, 2015 at 16:37 | history | suggested | Silvia Ghinassi | CC BY-SA 3.0 |
fixed mathjax
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| Nov 27, 2015 at 16:20 | review | Suggested edits | |||
| S Nov 27, 2015 at 16:37 | |||||
| Nov 27, 2015 at 12:46 | comment | added | Jason Starr | I would like to say: Yi Zhu used and extended the results of Kim-Pandharipande in a serious way to prove rational simple connectedness (not only connectedness of $\overline{M}_{0,n}(X,\beta)$, but also simple connectedness) for all projective homogeneous spaces $X$. This had been proved for projective homogeneous spaces of Picard number $1$ by Xuhua He, but a full type-free proof of Serre's Conjecture II (the current proofs are very type-dependent) will require the case of arbitrary $X$ (and probably also wonderful compactifications as well). | |
| Nov 27, 2015 at 10:20 | comment | added | free-object | Thank you for valuable comment. I'll read that papers carefully. | |
| Nov 27, 2015 at 5:11 | comment | added | Jason Starr | This is implicit in Kontsevich's original paper on "Enumeration of Rational Curves via Torus Actions" (in my opinion). It is explicit in an article by Bumsig Kim and Rahul Pandharipande, "The Connectedness of the Moduli Space of Maps to Homogeneous Spaces". It also follows from Kuznetsov's paper, "Laumon's Resolution ..." | |
| Nov 27, 2015 at 4:27 | history | asked | free-object | CC BY-SA 3.0 |