Specialization of $F$-Zips
| dc.creator | Wedhorn, Torsten | |
| dc.date | 2005-07-08 | |
| dc.date.accessioned | 2026-07-07T05:21:32Z | |
| dc.date.available | 2026-07-07T05:21:32Z | |
| dc.description | In \cite{MW}, B. Moonen and the author defined a new invariant, called $F$-Zips, of certain varieties in positive characteristics. We showed that the isomorphism classes of these invariants can be interpreted as orbits of a certain variety $Z$ with an action of a reductive group $G$. In loc. cit. we gave a combinatorial description of the set of these orbits. In this manuscript we give an explicit combinatorial recipe to decide which orbits are in the closure of a given orbit. We do this by relating $Z$ to a semi-linear variant of the wonderful compactification of $G$ constructed by de Concini and Procesi. As an application we give an explicit criterion of the closure relation for Ekedahl-Oort strata in the moduli space of principally polarized abelian varieties. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507175 | |
| dc.identifier | http://arxiv.org/abs/math/0507175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75725 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14G35; 14F40; 14K10; 11G15; 20G40; 20F55 | |
| dc.title | Specialization of $F$-Zips | |
| dc.type | text |