Non-Emptiness of the Height Strata of the Moduli Stack of Polarized K3 Surfaces
| dc.creator | Rizov, Jordan | |
| dc.date | 2005-06-14 | |
| dc.date.accessioned | 2026-07-07T05:20:45Z | |
| dc.date.available | 2026-07-07T05:20:45Z | |
| dc.description | In this paper we consider the following problem: For a given natural number $d$ and a prime $p$ determine all Newton polygons of polarized K3 surfaces of degree 2d over fields of characteristic $p$. This is an analogue of the Manin problem for Newton polygons of abelian varieties. This question is equivalent to determining the non-empty height strata of the moduli stack $\M_{2d}\otimes \F_p$ of K3 surfaces with a polarization of degree 2d over $\F_p$. We prove here that if $d$ is large enough and prime to $p$, then the height strata of $\M_{2d}\otimes \F_p$ are non-empty. | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0506271 | |
| dc.identifier | http://arxiv.org/abs/math/0506271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75489 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Non-Emptiness of the Height Strata of the Moduli Stack of Polarized K3 Surfaces | |
| dc.type | text |