Stability of Secant Bundles on Second Symmetric Power of Curves
Given a rank $r$ stable bundle over a smooth irreducible projective curve $C,$ there is an associated rank $2r$ bundle over $S^2(C),$ the second symmetric power of $C.$ In this article we study the stability of this bundle. As a consequence we get an immersion from the moduli space of stable bundles...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | Given a rank $r$ stable bundle over a smooth irreducible projective curve
$C,$ there is an associated rank $2r$ bundle over $S^2(C),$ the second
symmetric power of $C.$ In this article we study the stability of this bundle.
As a consequence we get an immersion from the moduli space of stable bundles
over $C$ to the associated moduli space of stable bundles over $S^2(C).$ |
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| DOI: | 10.48550/arxiv.1604.00752 |