Pole order filtration on the cohomology of algebraic links
Yakov Karpishpan (1991)
Compositio Mathematica
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Yakov Karpishpan (1991)
Compositio Mathematica
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Igor Dolgachev (1980)
Compositio Mathematica
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Alexandru Dimca, Morihiko Saito (2004)
Annales de l’institut Fourier
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For a holomorphic function on a complex manifold, we show that the vanishing cohomology of lower degree at a point is determined by that for the points near it, using the perversity of the vanishing cycle complex. We calculate this order of vanishing explicitly in the case the hypersurface has simple normal crossings outside the point. We also give some applications to the size of Jordan blocks for monodromy.
James Carlson, Mark Green, Phillip Griffiths, Joe Harris (1983)
Compositio Mathematica
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Mark Andrea A. de Cataldo, Luca Migliorini (2005)
Annales scientifiques de l'École Normale Supérieure
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J. Carlson, H. Clemens, J. Morgan (1981)
Annales scientifiques de l'École Normale Supérieure
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