Details
| Original language | English |
|---|---|
| Pages (from-to) | 59-68 |
| Number of pages | 10 |
| Journal | Journal of geometry and physics |
| Volume | 122 |
| Early online date | 28 Dec 2016 |
| Publication status | Published - Dec 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.
Keywords
- Picard sheaf, Projective curve, Stability
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Geometry and Topology
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In: Journal of geometry and physics, Vol. 122, 12.2017, p. 59-68.
Research output: Contribution to journal › Article › Research › 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 -