Bernstein -Sato polynomials and Picard -Lefschetz monodromy
In this thesis we will study singularities. We will investigate the Picard-Lefschetz monodromy and the Bernstein-Sato polynomial of singularities. Each of this concepts can be thought of as invariants that distinguish between different types of singularities, and encode information about their resolution. We will present a new way to compute the eigenspace decomposition of the Picard-Lefschetz monodromy of a singularity defined by a weighted homogeneous polynomial. In this thesis we investigate Thom-Sebastiani type theorems, and we will study the Bernstein-Sato polynomial in low dimension.
Walther, Purdue University.
Off-Campus Purdue Users:
To access this dissertation, please log in to our