Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 59-68 |
| Seitenumfang | 10 |
| Fachzeitschrift | Journal of geometry and physics |
| Jahrgang | 122 |
| Frühes Online-Datum | 28 Dez. 2016 |
| Publikationsstatus | Veröffentlicht - Dez. 2017 |
Abstract
For a stable vector bundle E of slope μ(E)>2g−1 on a smooth, projective curve of genus g, we show that the Picard sheaf Eˆ on the Picard variety of the curve is stable. We introduce a homological tool for testing semistability of Picard sheaves. We also obtain the semistability of the general Picard sheaf if μ(E)∈[g−2,g],μ(E)≠g−1.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Mathematische Physik
- Physik und Astronomie (insg.)
- Mathematik (insg.)
- Geometrie und Topologie
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in: Journal of geometry and physics, Jahrgang 122, 12.2017, S. 59-68.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Stability of Picard sheaves for vector bundles on curves
AU - Hein, Georg
AU - Ploog, David
PY - 2017/12
Y1 - 2017/12
N2 - For a stable vector bundle E of slope μ(E)>2g−1 on a smooth, projective curve of genus g, we show that the Picard sheaf Eˆ on the Picard variety of the curve is stable. We introduce a homological tool for testing semistability of Picard sheaves. We also obtain the semistability of the general Picard sheaf if μ(E)∈[g−2,g],μ(E)≠g−1.
AB - For a stable vector bundle E of slope μ(E)>2g−1 on a smooth, projective curve of genus g, we show that the Picard sheaf Eˆ on the Picard variety of the curve is stable. We introduce a homological tool for testing semistability of Picard sheaves. We also obtain the semistability of the general Picard sheaf if μ(E)∈[g−2,g],μ(E)≠g−1.
KW - Picard sheaf
KW - Projective curve
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=85009191883&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1511.06550
DO - 10.48550/arXiv.1511.06550
M3 - Article
AN - SCOPUS:85009191883
VL - 122
SP - 59
EP - 68
JO - Journal of geometry and physics
JF - Journal of geometry and physics
SN - 0393-0440
ER -