dc.identifier.uri |
http://dx.doi.org/10.15488/13760 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/13870 |
|
dc.contributor.author |
Dill, Gabriel A.
|
|
dc.date.accessioned |
2023-05-26T09:15:32Z |
|
dc.date.available |
2023-05-26T09:15:32Z |
|
dc.date.issued |
2022 |
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dc.identifier.citation |
Dill, G.A.: On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0. In: Transformation groups (2022), online first. DOI: https://doi.org/10.1007/s00031-022-09748-2 |
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dc.description.abstract |
Let K be a field of characteristic 0 and let G and H be connected commutative algebraic groups over K. Let Mor0(G,H) denote the set of morphisms of algebraic varieties G → H that map the neutral element to the neutral element. We construct a natural retraction from Mor0(G,H) to Hom(G,H) (for arbitrary G and H) which commutes with the composition and addition of morphisms. In particular, if G and H are isomorphic as algebraic varieties, then they are isomorphic as algebraic groups. If G has no non-trivial unipotent group as a direct factor, we give an explicit description of the sets of all morphisms and isomorphisms of algebraic varieties between G and H. We also characterize all connected commutative algebraic groups over K whose only variety automorphisms are compositions of automorphisms of algebraic groups with translations. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Boston, Mass. : Birkhäuser |
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dc.relation.ispartofseries |
Transformation groups (2022), online first |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
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dc.subject |
Group varieties |
eng |
dc.subject |
Other algebraic groups (geometric aspects) |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0 |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1531-586X |
|
dc.relation.issn |
1083-4362 |
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dc.relation.doi |
https://doi.org/10.1007/s00031-022-09748-2 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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