Details
| Original language | English |
|---|---|
| Pages (from-to) | 1785-1800 |
| Number of pages | 16 |
| Journal | Mathematical research letters |
| Volume | 27 |
| Issue number | 6 |
| Publication status | Published - 2020 |
| Externally published | Yes |
Abstract
We prove that, if C is a smooth projective curve over the complex numbers, and E is a stable vector bundle on C whose slope does not lie in the interval [-1, n - 1], then the associated tautological bundle E[n] on the symmetric product C(n) is again stable. Also, if E is semi-stable and its slope does not lie in (-1, n - 1), then E[n] is semi-stable.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Mathematical research letters, Vol. 27, No. 6, 2020, p. 1785-1800.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stability of tautological bundles on symmetric products of curves
AU - Krug, Andreas
PY - 2020
Y1 - 2020
N2 - We prove that, if C is a smooth projective curve over the complex numbers, and E is a stable vector bundle on C whose slope does not lie in the interval [-1, n - 1], then the associated tautological bundle E[n] on the symmetric product C(n) is again stable. Also, if E is semi-stable and its slope does not lie in (-1, n - 1), then E[n] is semi-stable.
AB - We prove that, if C is a smooth projective curve over the complex numbers, and E is a stable vector bundle on C whose slope does not lie in the interval [-1, n - 1], then the associated tautological bundle E[n] on the symmetric product C(n) is again stable. Also, if E is semi-stable and its slope does not lie in (-1, n - 1), then E[n] is semi-stable.
UR - http://www.scopus.com/inward/record.url?scp=85102519071&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1809.06450
DO - 10.48550/arXiv.1809.06450
M3 - Article
AN - SCOPUS:85102519071
VL - 27
SP - 1785
EP - 1800
JO - Mathematical research letters
JF - Mathematical research letters
SN - 1073-2780
IS - 6
ER -