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- W2004845933 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." @default.
- W2004845933 created "2016-06-24" @default.
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- W2004845933 date "2011-04-01" @default.
- W2004845933 modified "2023-09-27" @default.
- W2004845933 title "Direct image and parabolic structure on symmetric product of curves" @default.
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- W2004845933 doi "https://doi.org/10.1016/j.geomphys.2010.12.005" @default.
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