Stable reductive varieties I: Affine varieties
| dc.creator | Alexeev, Valery | |
| dc.creator | Brion, Michel | |
| dc.date | 2002-07-29 | |
| dc.date | 2003-09-15 | |
| dc.date.accessioned | 2026-07-07T04:49:54Z | |
| dc.date.available | 2026-07-07T04:49:54Z | |
| dc.description | The motivation of this work is to construct an analog of compactified moduli of abelian varieties and toric pairs in the case of non-commutative algebraic group G. We introduce a class of "stable reductive varieties" which contain connected reductive groups and their equivariant compactifications, and is closed under flat reduced degenerations. We classify them all, describe their degenerations, and establish a connection between these varieties and "reductive semigroups" which we also define. Finally, we construct a Hilbert scheme of embedded G-varieties by applying and generalizing a construction of Haiman and Sturmfels. The second version adds some cosmetic changes. | |
| dc.description | 47 pages | |
| dc.identifier | https://arxiv.org/abs/math/0207272 | |
| dc.identifier | http://arxiv.org/abs/math/0207272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64607 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14D22; 20G05; 14M25 | |
| dc.title | Stable reductive varieties I: Affine varieties | |
| dc.type | text |