dc.identifier.uri |
http://dx.doi.org/10.15488/208 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/230 |
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dc.contributor.author |
Alexeev, V.
|
|
dc.contributor.author |
Birkenhake, C.
|
|
dc.contributor.author |
Hulek, Klaus
|
|
dc.date.accessioned |
2016-02-11T09:04:22Z |
|
dc.date.available |
2016-02-11T09:04:22Z |
|
dc.date.issued |
2002 |
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dc.identifier.citation |
Alexeev, V.; Birkenhake, C.; Hulek, Klaus: Degenerations of Prym varieties. In: Journal für die reine und angewandte Mathematik 2002 (2002), Nr. 553, S. 73-116. DOI: http://dx.doi.org/10.1515/crll.2002.103 |
|
dc.description.abstract |
Let (C, l) be a stable curve with an involution. Following a classical construction one can define its Prym variety P, which in this case turns out to be a semiabelian group variety and usually not complete. In this paper we study the question whether there are "good" compactifications of P in analogy to compactified Jacobians. The answer to this question depends on whether we consider degenerations of principally polarized Prym varieties or degenerations with the induced (non-principal) polarization. We describe degeneration data of such degenerations. The main application of our theory lies in the case of degenerations of principally polarized Prym varieties where we ask whether such a degeneration depends on a given one-parameter family containing (C, l) or not. This allows us to determine the indeterminacy locus of the Prym map. |
eng |
dc.language.iso |
eng |
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dc.publisher |
Berlin : Walter de Gruyter |
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dc.relation.ispartofseries |
Journal für die reine und angewandte Mathematik 2002 (2002), Nr. 553 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
Prym variety |
eng |
dc.subject |
algebra |
eng |
dc.subject |
applied mathematics |
eng |
dc.subject.classification |
Algebra |
ger |
dc.subject.classification |
Angewandte Mathematik |
ger |
dc.subject.classification |
Prym-Varietät |
ger |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Degenerations of Prym varieties |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1435-5345 |
|
dc.relation.issn |
0075-4102 |
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dc.relation.doi |
http://dx.doi.org/10.1515/crll.2002.103 |
|
dc.bibliographicCitation.issue |
553 |
|
dc.bibliographicCitation.volume |
2002 |
|
dc.bibliographicCitation.firstPage |
73 |
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dc.bibliographicCitation.lastPage |
116 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|