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Generalized parabolic bundles and applications— II

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Abstract

We prove the existence of the moduli spaceM(n,d) of semistable generalised parabolic bundles (GPBs) of rankn, degreed of certain general type on a smooth curve. We study interesting cases of the moduli spacesM(n, d) and find explicit geometric descriptions for them in low ranks and genera. We define tensor products, symmetric powers etc. and the determinant of a GPB. We also define fixed determinant subvarietiesM L(n, d),L being a GPB of rank 1. We apply these results to study of moduli spaces of torsionfree sheaves on a reduced irreducible curveY with nodes and ordinary cusps as singularities. We also study relations among these moduli spaces (rank 2) as polarization varies over [0, 1].

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  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005, Bombay, India

    Usha N. Bhosle

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  1. Usha N. Bhosle
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Bhosle, U.N. Generalized parabolic bundles and applications— II. Proc. Indian Acad. Sci. (Math. Sci.) 106, 403–420 (1996). https://doi.org/10.1007/BF02837696

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