Timeline for Ampleness of Hodge bundles over complex curves
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 28, 2018 at 10:37 | comment | added | Damian Rössler | @François. See Th. 5.2 in P. Griffiths, Periods of integrals on algebraic manifolds, III (some global differ- ential properties of the period mapping). Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125–180 and also Cor. 2.7 in "Germs of analytic varieties in algebraic varieties" by JB Bost in the Dwork Festschrift. | |
| Sep 25, 2018 at 21:17 | comment | added | François | @DamianRössler. Do you know a reference for the positivity theorem due to Griffiths that you cited? | |
| May 14, 2014 at 21:24 | comment | added | Damian Rössler | @Jason Starr. Thank you for your remark. I would expect something like that but I cannot find any coherent bibliographical reference for this kind of thing. | |
| May 14, 2014 at 21:14 | comment | added | Jason Starr | I would expect that the quotient of $\epsilon_{\mathcal{G}}^*\Omega^1_{\mathcal{G}/C}$ by the maximal ample subsheaf is integrable, i.e., it is $\epsilon_{\mathcal{H}}^*\Omega_{\mathcal{H}/C}$ for an isotrivial subgroup scheme $\mathcal{H}$ of $\mathcal{G}$. Thus, if you insist that $\mathcal{G}$ has no isotrivial subgroup scheme, presumably that implies ampleness. | |
| May 14, 2014 at 21:00 | history | asked | Damian Rössler | CC BY-SA 3.0 |