Degenerations of the moduli spaces of vector bundles on curves I |
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Authors: | D. S. Nagaraj and C. S. Seshadri |
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Affiliation: | (1) Mathematics Group, Institute of Mathematical Sciences, C.I.T. Campus, 600113 Madras, India;(2) School of Mathematics, SPIC Mathematical Institute, 92, G.N. Chetty Road, 600017 Madras, India |
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Abstract: | LetY be a smooth projective curve degenerating to a reducible curveX with two components meeting transversally at one point. We show that the moduli space of vector bundles of rank two and odd determinant on Ydegenerates to a moduli space onX which has nice properties, in particular, it has normal crossings. We also show that a nice degeneration exists when we fix the determinant. We give some conjectures concerning the degeneration of moduli space of vector bundles onY with fixed determinant and arbitrary rank. |
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Keywords: | Nodal curve torsion free sheaf moduli |
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