Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893998 | Journal of Geometry and Physics | 2011 | 8 Pages |
Abstract
Given a complex smooth projective curve X and a vector bundle E on it; there is a corresponding vector bundle F(E) on the symmetric product Sn(X) for any n. We show that there is a natural parabolic structure on the vector bundle F(E). We prove that F(E) is parabolic semistable (respectively, parabolic polystable) if and only if E is semistable (respectively, polystable). If E is not the trivial line bundle on X, then we prove that F(E) is parabolic stable if and only if E is stable.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Indranil Biswas, Fatima Laytimi,