Complete moduli in the presence of semiabelian group action
| dc.creator | Alexeev, Valery | |
| dc.date | 1999-05-18 | |
| dc.date | 2004-09-15 | |
| dc.date.accessioned | 2026-07-07T05:29:06Z | |
| dc.date.available | 2026-07-07T05:29:06Z | |
| dc.description | I prove the existence, and describe the structure, of moduli space of pairs $(p,Θ)$ consisting of a projective variety $P$ with semiabelian group action and an ample Cartier divisor on it satisfying a few simple conditions. Every connected component of this moduli space is proper. A component containing a projective toric variety is described by a configuration of several polytopes, the main one of which is the secondary polytope. On the other hand, the component containing a principally polarized abelian variety provides a moduli compactification of $A_g$. The main irreducible component of this compactification is described by an "infinite periodic" analog of the secondary polytope and coincides with the toroidal compactification of $A_g$ for the second Voronoi decomposition. | |
| dc.description | 98 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/9905103 | |
| dc.identifier | http://arxiv.org/abs/math/9905103 | |
| dc.identifier | Ann. of Math. (2), Vol. 155 (2002), no. 3, 611--708 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78513 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K10 | |
| dc.title | Complete moduli in the presence of semiabelian group action | |
| dc.type | text |