Stability Of The Parabolic Poincar\'e Bundle
Given a compact Riemann surface $X$ and a moduli space $M_{\alpha}(\Lambda)$ of parabolic stable bundles on it of fixed determinant of complete parabolic flags, we prove that the Poincar\'e parabolic bundle on $X\times M_{\alpha}(\Lambda)$ is parabolic stable with respect to a natural polarizat...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | Given a compact Riemann surface $X$ and a moduli space $M_{\alpha}(\Lambda)$
of parabolic stable bundles on it of fixed determinant of complete parabolic
flags, we prove that the Poincar\'e parabolic bundle on $X\times
M_{\alpha}(\Lambda)$ is parabolic stable with respect to a natural polarization
on $X\times M_{\alpha}(\Lambda)$. |
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| DOI: | 10.48550/arxiv.1712.08765 |