LetX be a compact Riemann surface andMsp(X) the moduli space of stable parabolic vector bundles with fixed rank, degree, rational weights and multiplicities. There is a natural Kähler metric onMsp(X). We obtain a natural metrized holomorphic line bundle onMsp(X) whose Chern form equalsmr times the Kähler form, wherem is the common denominator of the weights andr the rank.
Volume 129 | Issue 5
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