A REMARK ON VANISHING CYCLES WITH TWO STRATAReport as inadecuate




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1 I2M - Institut de Mathématiques de Marseille 2 Northeastern University Boston

Abstract : Suppose that the critical locus Σ of a complex analytic function f on affine space is, itself, a space with an isolated singular point at the origin 0, and that the Milnor number of f restricted to normal slices of Σ − {0} is constant. Then, the general theory of perverse sheaves puts severe restrictions on the cohomology of the Milnor fiber of f at 0, and even more surprising restrictions on the cohomology of the Milnor fiber of generic hyperplane slices. K

Keywords : Perverse sheaf Vanishing cycles Stratification de Whitney





Author: Dung Trang Lê - David Massey -

Source: https://hal.archives-ouvertes.fr/



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