Timeline for Geometric description of Stein factorization in a special case
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 28, 2017 at 15:44 | 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 29, 2017 at 14:47 | answer | added | Jason Starr | timeline score: 1 | |
| Jul 29, 2017 at 2:53 | comment | added | Jason Starr | Typo correction: ". . . degree $d$ homogeneous polynomials" --> ". . . degree $d-2$ homogeneous polynomials." | |
| Jul 29, 2017 at 2:00 | comment | added | Jason Starr | If you locally trivialize $\mathcal{E}$ on an open neighborhood $U$ of $X^{[2]}$, then there is an induced morphism $f$ from $U$ to the affine space $\mathbb{A}$ of the vector space $H^0(\mathbb{P}^1,\mathcal{O}(d-2))$. So the simplest way to think about this is to first compute the Stein factorization over $\mathbb{A}$ of the universal family $\mathcal{D}\subset \mathbb{A}\times \mathbb{P}^1$ of zero schemes of degree $d$ homogeneous polynomials (including the zero polynomial). Then you can pullback that universal Stein factorization by $f$. | |
| Jul 28, 2017 at 14:14 | history | asked | pi_1 | CC BY-SA 3.0 |