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- W1546162050 abstract "Let $(f, g)$ be a pair of complex analytic functions on a singular analytic space $X$. We give ``the correct'' definition of the relative polar curve of $(f, g)$, and we give a very formal generalization of L^e's attaching result, which relates the relative polar curve to the relative cohomology of the Milnor fiber modulo a hyperplane slice. We also give the technical arguments which allow one to work with a derived category version of the discriminant and Cerf diagram of a pair of functions. From this, we derive a number of generalizations of results which are classically proved using the discriminant. In particular, we give applications to families of isolated ``critical points''." @default.
- W1546162050 created "2016-06-24" @default.
- W1546162050 creator A5062807258 @default.
- W1546162050 date "2008-01-01" @default.
- W1546162050 modified "2023-09-25" @default.
- W1546162050 title "Enriched relative polar curves and discriminants" @default.
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- W1546162050 doi "https://doi.org/10.1090/conm/474/09255" @default.
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