dc.identifier.uri |
http://dx.doi.org/10.15488/10607 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/10685 |
|
dc.contributor.author |
Macrì, Emanuele
|
|
dc.contributor.author |
Schmidt, Benjamin
|
|
dc.date.accessioned |
2021-03-25T06:34:02Z |
|
dc.date.available |
2021-03-25T06:34:02Z |
|
dc.date.issued |
2020 |
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dc.identifier.citation |
Macrì, E.; Schmidt, B.: Derived categories and the genus of space curves. In: Algebraic Geometry 7 (2020), Nr. 2, S. 153-191. DOI: https://doi.org/10.14231/AG-2020-006 |
|
dc.description.abstract |
We generalize a classical result about the genus of curves in projective space by Gruson and Peskine to principally polarized abelian threefolds of Picard rank one. The proof is based on wall-crossing techniques for ideal sheaves of curves in the derived category. In the process, we obtain bounds for Chern characters of other stable objects such as rank two sheaves. The argument gives a proof for projective space as well. In this case these techniques also indicate an approach for a conjecture by Hartshorne and Hirschowitz and we prove first steps toward it. © Foundation Compositio Mathematica 2020. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Amsterdam : Foundation Compositio Mathematica |
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dc.relation.ispartofseries |
Algebraic Geometry 7 (2020), Nr. 2 |
|
dc.rights |
CC BY-NC 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc/3.0/ |
|
dc.subject |
genus of curves |
eng |
dc.subject |
projective space |
eng |
dc.subject |
abelian threefolds |
eng |
dc.subject |
ideal sheaves of curves |
eng |
dc.subject |
wall-crossing |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
Derived categories and the genus of space curves |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
2214-2584 |
|
dc.relation.issn |
2313-1691 |
|
dc.relation.doi |
https://doi.org/10.14231/AG-2020-006 |
|
dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
7 |
|
dc.bibliographicCitation.firstPage |
153 |
|
dc.bibliographicCitation.lastPage |
191 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|