F eb 2 00 1 PARABOLIC VECTOR BUNDLES AND EQUIVARIANT VECTOR BUNDLES
نویسنده
چکیده
Given a complex manifold X, a normal crossing divisor D ⊂ X whose irreducible components D 1 ,. .. , D s are smooth, and a choice of natural numbers r = (r 1 ,. .. , r s), we construct a manifold X(D, r) with an action of a torus Γ and we prove that some full subcategory of the category of Γ-equivariant vector bundles on X(D, r) is equivalent to the category of parabolic vector bundles on (X, D) in which the lengths of the filtrations over each irreducible component of X are given by r. When X is Kaehler, we study the Kaehler cone of X(D, r) and the relation between the corresponding notions of slope-stability.
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