Homomorphisms of vector bundles on curves and parabolic vector bundles on a symmetric product
Authors:
Indranil Biswas and Souradeep Majumder
Journal:
Proc. Amer. Math. Soc. 140 (2012), 3017-3024
MSC (2010):
Primary 14F05, 14H60
DOI:
https://doi.org/10.1090/S0002-9939-2012-11227-4
Published electronically:
January 24, 2012
MathSciNet review:
2917074
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be the symmetric product of an irreducible smooth complex projective curve
. Given a vector bundle
on
, there is a corresponding parabolic vector bundle
on
. If
is nontrivial, it is known that
is stable if and only if
is stable. We prove that



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- [MY] M. Maruyama and K. Yokogawa, Moduli of parabolic stable sheaves, Math. Ann. 293 (1992), 77-99. MR 1162674 (93d:14022)
- [MS] V. B. Mehta and C. S. Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann. 248 (1980), 205-239. MR 575939 (81i:14010)
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Additional Information
Indranil Biswas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
Email:
indranil@math.tifr.res.in
Souradeep Majumder
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
Email:
souradip@math.tifr.res.in
DOI:
https://doi.org/10.1090/S0002-9939-2012-11227-4
Keywords:
Symmetric product,
parabolic vector bundle,
homomorphism,
stability
Received by editor(s):
March 29, 2011
Published electronically:
January 24, 2012
Communicated by:
Lev Borisov
Article copyright:
© Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.