Hypersurface Singularities and the Swing *
نویسنده
چکیده
Suppose that f defines a singular, complex affine hypersurface. If the critical locus of f is onedimensional, we obtain new general bounds on the ranks of the homology groups of the Milnor fiber of f . This result has an interesting implication on the structure of the vanishing cycles in the category of perverse sheaves.
منابع مشابه
ar X iv : m at h / 04 11 43 2 v 3 [ m at h . A G ] 2 3 N ov 2 00 4 Hypersurface Singularities and the Swing ∗ Lê
Suppose that f defines a singular, complex affine hypersurface. If the critical locus of f is onedimensional, we obtain new general bounds on the ranks of the homology groups of the Milnor fiber of f . This result has an interesting implication on the structure of the vanishing cycles in the category of perverse sheaves.
متن کامل. A G ] 7 F eb 2 00 5 Hypersurface Singularities and the Swing ∗
Suppose that f defines a singular, complex affine hypersurface. If the critical locus of f is onedimensional, we obtain new general bounds on the ranks of the homology groups of the Milnor fiber of f . This result has an interesting implication on the structure of the vanishing cycles in the category of perverse sheaves.
متن کاملar X iv : m at h / 04 11 43 2 v 4 [ m at h . A G ] 7 F eb 2 00 5 Hypersurface Singularities and the Swing ∗ Lê
Suppose that f defines a singular, complex affine hypersurface. If the critical locus of f is onedimensional, we obtain new general bounds on the ranks of the homology groups of the Milnor fiber of f . This result has an interesting implication on the structure of the vanishing cycles in the category of perverse sheaves.
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تاریخ انتشار 2004