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Article overview
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Parabolic Raynaud bundle | Indranil Biswas
; Georg Hein
; | Date: |
14 Sep 2007 | Abstract: | Let X be an irreducible smooth projective curve defined over complex numbers,
S= {p_1, p_2,...,p_n} subset X$ a finite set of closed points and N > 1 a
fixed integer. For any pair (r,d) in Z X Z/N, there exists a parabolic vector
bundle R_{r,d,*} on X, with parabolic structure over S and all parabolic
weights in Z/N, that has the following property: Take any parabolic vector
bundle E_* of rank r on X whose parabolic points are contained in S, all the
parabolic weights are in Z/N and the parabolic degree is d. Then E_* is
parabolic semistable if and only if there is no nonzero parabolic homomorphism
from R_{r,d,*} to E_*. | Source: | arXiv, 0709.2261 | Services: | Forum | Review | PDF | Favorites |
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