Intersection Homology and Alexander Modules of Hypersurface Complements.
October 07, 2004 03:30 PM to 04:00 PM
Speakers:
Maxim, Laurentiu
|
 |
Summary: |
The aim of this lecture is to extend Libgober's results on Alexander
modules of complements of hypersurfaces with isolated singularities to
the case of hypersurfaces with non-isolated singularities and in general
position at infinity. For such hypersurfaces, the Alexander modules of
the complement are realized as intersection homology modules. This
approach allows the use of derived categories and perverse sheaves in
showing that most of the Alexander modules are torsion and of finite
type over the ring of rational Laurent polynomials. There is a
precise control on the roots of the associated Alexander polynomials in
terms of the geometry of the links of strata in a stratification of the
hypersurface in the projective space. These results are then used to
give obstructions on the eigenvalues of the monodromy operators of the
Milnor fiber of a projective hypersurface arrangement. |
Keywords: |
Hyperplane Arrangements |
|
|
Lecture #10705
Need help? Visit our help pages at http://www.msri.org/communications/vmath/hints
|
 |
Supplements | | Right click on the link and "Save As..." to save to your local computer.
• 10705.pdf (0.2 MB)
Left click on thumbnail to see a larger image.
|
|
|
| See more of our Streaming Videos on our main VMath - Streaming Video page. |
