Deformation Formulas for Parameterized Hypersurfaces
Brian Hepler
Abstract:We investigate one-parameter deformations of functions on affine space which define parameterizable hypersurfaces. With the assumption of isolated polar activity at the origin, we are able to completely express the Lê numbers of the special fiber in terms of the Lê numbers of the generic fiber and the characteristic polar multiplicities of the comparison complex, a perverse sheaf naturally associated to any reduced complex analytic space on which the constant sheaf Q • X [dim X] is perverse. This generalizes t… Show more
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