dc.identifier.uri |
http://dx.doi.org/10.15488/9761 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/9817 |
|
dc.contributor.author |
Bainbridge, Matt
|
|
dc.contributor.author |
Chen, Dawei
|
|
dc.contributor.author |
Gendron, Quentin
|
|
dc.contributor.author |
Grushevsky, Samuel
|
|
dc.contributor.author |
Möller, Martin
|
|
dc.date.accessioned |
2020-04-07T05:59:25Z |
|
dc.date.available |
2020-04-07T05:59:25Z |
|
dc.date.issued |
2019 |
|
dc.identifier.citation |
Bainbridge, M.; Chen, D.; Gendron, Q.; Grushevsky, S.; Möller, M.: Strata of k-differentials. In: Algebraic Geometry 6 (2019), Nr. 2, S. 196-233. DOI: https://doi.org/10.14231/AG-2019-011 |
|
dc.description.abstract |
A k-differential on a Riemann surface is a section of the kth power of the canonical line bundle. Loci of k-differentials with prescribed number and multiplicities of zeros and poles form a natural stratification of the moduli space of k-differentials. In this paper, we give a complete description for the compactification of the strata of k-differentials in terms of pointed stable k-differentials, for all k. The upshot is a global k-residue condition that can also be reformulated in terms of admissible covers of stable curves. Moreover, we study properties of k-differentials regarding their deformations, residues, and at geometric structure. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Zürich : European Mathematical Society Publishing House |
|
dc.relation.ispartofseries |
Algebraic Geometry 6 (2019), Nr. 2 |
|
dc.rights |
CC BY-NC 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc/3.0/ |
|
dc.subject |
At geometry |
eng |
dc.subject |
Compactification |
eng |
dc.subject |
Deformation |
eng |
dc.subject |
k-differentials |
eng |
dc.subject |
Strata |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Strata of k-differentials |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
2313-1691 |
|
dc.relation.doi |
https://doi.org/10.14231/AG-2019-011 |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
6 |
|
dc.bibliographicCitation.firstPage |
196 |
|
dc.bibliographicCitation.lastPage |
233 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|