dc.contributor.author | Christophersen, Jan Arthur | |
dc.contributor.author | Kleppe, Jan Oddvar | |
dc.date.accessioned | 2018-09-07T11:34:01Z | |
dc.date.accessioned | 2019-02-11T12:13:28Z | |
dc.date.available | 2018-09-07T11:34:01Z | |
dc.date.available | 2019-02-11T12:13:28Z | |
dc.date.issued | 2018-09-06 | |
dc.identifier.citation | Christophersen JA, Kleppe JO. Comparison theorems for deformation functors via invarianttheory. Collectanea Mathematica. 2018 | en |
dc.identifier.issn | 0010-0757 | |
dc.identifier.issn | 0010-0757 | |
dc.identifier.issn | 2038-4815 | |
dc.identifier.uri | https://hdl.handle.net/10642/6596 | |
dc.description.abstract | We compare deformations of algebras to deformations of schemes in the setting of invariant theory. Our results generalize comparison theorems of Schlessinger and the second author for projective schemes. We consider deformations (abstract and embedded) of a scheme X which is a good quotient of a quasi-affine scheme X0 by a linearly reductive group G and compare them to invariant deformations of an affine G-scheme containing X0 as an open invariant subset. The main theorems give conditions for when the comparison morphisms are smooth or isomorphisms. | en |
dc.description.sponsorship | Norges forskningsråd 239015 | en |
dc.language.iso | en | en |
dc.publisher | Springer | en |
dc.relation.ispartofseries | Collectanea Mathematica;January 2019, Volume 70, Issue 1 | |
dc.rights | This is a post-peer-review, pre-copyedit version of an article published in Collectanea Mathematica. The final authenticated version is available online at: http://dx.doi.org/10.1007/s13348-018-0232 | en |
dc.subject | Cotangent complexes | en |
dc.subject | Deformation theories | en |
dc.subject | Hilbert groups | en |
dc.subject | Reductive groups | en |
dc.subject | Toric varieties | en |
dc.title | Comparison theorems for deformation functors via invariant theory | en |
dc.type | Journal article | en |
dc.type | Peer reviewed | en |
dc.date.updated | 2018-09-07T11:34:01Z | |
dc.description.version | acceptedVersion | en |
dc.identifier.doi | http://dx.doi.org/10.1007/s13348-018-0232-z | |
dc.identifier.cristin | 1607642 | |
dc.source.journal | Collectanea Mathematica | |
dc.relation.projectID | Norges forskningsråd: 239015 NFR | |