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Abstract:

The minimal exponent of a hypersurface is an invariant of singularities defined via the Bernstein-Sato polynomial. It is a refinement of the log canonical threshold (a fundamental invariant in birational geometry), that can be used to measure rational singularities. In the first  part of the talk I will give an introduction to these and related invariants. The second part of the talk will describe joint work with Eva Elduque and Bradley Dirks on a conjecture of Teissier, relating the minimal exponent of a hypersurface with that of a hyperplane section.

Notes 3.29 MB application/pdf

Minimal Exponents Of Hypersurfaces And A Conjecture Of Teissier