Logarithmic differential forms and and vector fields : geometric and differential aspects.

Date(s) : 19/11/2015
14 h 00 min - 15 h 00 min

In this talk I will first recall Kyoji Saito’s theory of logarithmic differential forms and vector fields, paying a particular attention to the freeness condition, and explain related problem, notably the logarithmic comparison question. I will also develop the notion of logarithmic residues along a divisor. I will review a number of results by David Mond and/or Mathias Schulze and myself, including a property of symmetry of the b-function and a characterisation of divisors with normal crossings in codimension one. This characterization answers a question of K. Saito. I will, according to the time left, briefly explain explain recent developments by Delphine Pol, which concern the set of valuations of residues along reduced plane curves.


Catégories Pas de Catégories

Retour en haut 

Secured By miniOrange