The Perverse Study of the Milnor Fiber
نویسنده
چکیده
In this note, we provide a quick introduction to the study of the Milnor fibration via the derived category and perverse sheaves. This is primarily a dictionary for translating from the standard topological setting to the derived category and/or the Abelian category of perverse sheaves.
منابع مشابه
Milnor Fibers and Links of Local Complete Intersections
There are essentially no previously-known results which show how Milnor fibers, real links, and complex links “detect” the dimension of the singular locus of a local complete intersection. In this paper, we show how a good understanding of the derived category and the perverse t-structure quickly yields such results for local complete intersections with singularities of arbitrary dimension.
متن کاملHypersurface 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 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.
متن کاملar 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