Degenerations of the moduli spaces of vector bundles on curves I |
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Authors: | D S Nagaraj C S Seshadri |
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Institution: | 1.Mathematics Group,Institute of Mathematical Sciences,Madras,India;2.School of Mathematics,SPIC Mathematical Institute,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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