Timeline for Relation between Milnor fiber and its restriction via vanishing cycles
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2015 at 7:03 | comment | added | Alex Suciu | I recommend scholar.google.com | |
| Jan 14, 2015 at 22:01 | vote | accept | Brenin | ||
| Jan 14, 2015 at 22:01 | comment | added | Brenin | Unfortunately I cannot find the two first references you gave me; I really would like to find them, also because it is always a pleasure to read french... Do you know where I can find them? | |
| Jan 14, 2015 at 20:44 | comment | added | David Massey | To deal with the complete intersection case, you need the machinery in my paper "Enriched Relative Polar Curves and Discriminants” in Contemporary Mathematics, vol. 474, 107-144, “Singularities I: Algebraic and Analytic Aspects; International Conference in honor of the 60th birthday of Lê Dung Tráng, January 8-26, 2007, Cuernavaca, Mexico” (2008). I should comment that, even in the hypersurface case, one can't use arbitrary hypersurfaces and get good results; there is a technical condition which needs to be satisfied. | |
| Jan 14, 2015 at 20:32 | comment | added | David Massey | I think the best two references for you, given the questions that you have, are:Lê, D. T. and Saito, K. La constance du nombre de Milnor donne des bonnes stratifications. C.R. Acad. Sci., 277:793–795, 1973. Lê, D. T. Calcul du Nombre de Cycles Evanouissants d’une Hypersurface Complexe. Ann. Inst. Fourier, Grenoble, 23:261–270, 1973. | |
| Jan 14, 2015 at 17:35 | comment | added | Brenin | Thank you for your answer! (Great to have it from the author...) I do not know what the relative polar curve is, could you please include a reference or a further explanation? Also, can the situation you described for a hypersurface be generalized to the case of $X$ a complete intersection in $U$? | |
| Jan 14, 2015 at 10:53 | history | answered | David Massey | CC BY-SA 3.0 |